1402213120 has 288 divisors, whose sum is σ = 4302014976. Its totient is φ = 425164800.

The previous prime is 1402213117. The next prime is 1402213121. The reversal of 1402213120 is 213122041.

1402213120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1402213094 and 1402213103.

It is not an unprimeable number, because it can be changed into a prime (1402213121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4040787 + ... + 4041133.

It is an arithmetic number, because the mean of its divisors is an integer number (14937552).

Almost surely, 2^1402213120 is an apocalyptic number.

1402213120 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 1402213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151007488).

1402213120 is an abundant number, since it is smaller than the sum of its proper divisors (2899801856).

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

1402213120 is a wasteful number, since it uses less digits than its factorization.

1402213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1402213120 is about 37446.1362492848. The cubic root of 1402213120 is about 1119.2781062334.

Adding to 1402213120 its reverse (213122041), we get a palindrome (1615335161).

It can be divided in two parts, 140221 and 3120, that added together give a palindrome (143341).

The spelling of 1402213120 in words is "one billion, four hundred two million, two hundred thirteen thousand, one hundred twenty".