1314511420 has 48 divisors (see below), whose sum is σ = 2870703360. Its totient is φ = 504999936.

The previous prime is 1314511411. The next prime is 1314511439. The reversal of 1314511420 is 241154131.

It is a super-3 number, since 3×1314511420³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1314511391 and 1314511400.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 106069 + ... + 117811.

It is an arithmetic number, because the mean of its divisors is an integer number (59806320).

Almost surely, 2^1314511420 is an apocalyptic number.

1314511420 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 1314511420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435351680).

1314511420 is an abundant number, since it is smaller than the sum of its proper divisors (1556191940).

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

1314511420 is a wasteful number, since it uses less digits than its factorization.

1314511420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11974 (or 11972 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1314511420 is about 36256.1914712508. The cubic root of 1314511420 is about 1095.4388044150.

Adding to 1314511420 its reverse (241154131), we get a palindrome (1555665551).

The spelling of 1314511420 in words is "one billion, three hundred fourteen million, five hundred eleven thousand, four hundred twenty".