402832022400 has 576 divisors, whose sum is σ = 1456094549520. Its totient is φ = 106036101120.

The previous prime is 402832022393. The next prime is 402832022477. The reversal of 402832022400 is 4220238204.

402832022400 is a `hidden beast` number, since 402 + 8 + 32 + 0 + 224 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1160899027 + ... + 1160899373.

Almost surely, 2^402832022400 is an apocalyptic number.

402832022400 is a gapful number since it is divisible by the number (40) 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 402832022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728047274760).

402832022400 is an abundant number, since it is smaller than the sum of its proper divisors (1053262527120).

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

402832022400 is a wasteful number, since it uses less digits than its factorization.

402832022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 402832022400 in words is "four hundred two billion, eight hundred thirty-two million, twenty-two thousand, four hundred".