1431141320 has 128 divisors (see below), whose sum is σ = 3761303040. Its totient is φ = 479969280.

The previous prime is 1431141301. The next prime is 1431141323. The reversal of 1431141320 is 231411341.

1431141320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1431141320² = 4096330955622684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1431141292 and 1431141301.

It is not an unprimeable number, because it can be changed into a prime (1431141323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3836654 + ... + 3837026.

It is an arithmetic number, because the mean of its divisors is an integer number (29385180).

Almost surely, 2^1431141320 is an apocalyptic number.

1431141320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880651520).

1431141320 is an abundant number, since it is smaller than the sum of its proper divisors (2330161720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1431141320 is a wasteful number, since it uses less digits than its factorization.

1431141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1431141320 is about 37830.4284934760. The cubic root of 1431141320 is about 1126.9228206639.

Adding to 1431141320 its reverse (231411341), we get a palindrome (1662552661).

The spelling of 1431141320 in words is "one billion, four hundred thirty-one million, one hundred forty-one thousand, three hundred twenty".