402749032254912 has 1120 divisors, whose sum is σ = 1430615083392000. Its totient is φ = 109538852290560.

The previous prime is 402749032254901. The next prime is 402749032254941. The reversal of 402749032254912 is 219452230947204.

It is a happy number.

402749032254912 is a `hidden beast` number, since 4 + 0 + 2 + 7 + 4 + 90 + 3 + 2 + 2 + 549 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 175336974148 + ... + 175336976444.

Almost surely, 2^{402749032254912} is an apocalyptic number.

402749032254912 is a gapful number since it is divisible by the number (42) 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 402749032254912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715307541696000).

402749032254912 is an abundant number, since it is smaller than the sum of its proper divisors (1027866051137088).

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

402749032254912 is a wasteful number, since it uses less digits than its factorization.

402749032254912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3271 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 402749032254912 in words is "four hundred two trillion, seven hundred forty-nine billion, thirty-two million, two hundred fifty-four thousand, nine hundred twelve".