402272896320 has 112 divisors (see below), whose sum is σ = 1419129414720. Its totient is φ = 107272770048.

The previous prime is 402272896309. The next prime is 402272896327. The reversal of 402272896320 is 23698272204.

402272896320 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 7 + 2 + 8 + 9 + 632 + 0 = 666.

It is a super-2 number, since 2×402272896320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402272896327) 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 15 ways as a sum of consecutive naturals, for example, 23271042 + ... + 23288321.

Almost surely, 2^402272896320 is an apocalyptic number.

402272896320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402272896320 is an abundant number, since it is smaller than the sum of its proper divisors (1016856518400).

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

402272896320 is a wasteful number, since it uses less digits than its factorization.

402272896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46559389 (or 46559373 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 402272896320 in words is "four hundred two billion, two hundred seventy-two million, eight hundred ninety-six thousand, three hundred twenty".