332053862400 has 864 divisors, whose sum is σ = 1328756672880. Its totient is φ = 81696522240.

The previous prime is 332053862347. The next prime is 332053862407. The reversal of 332053862400 is 4268350233.

It is a happy number.

332053862400 is a `hidden beast` number, since 3 + 3 + 20 + 5 + 3 + 8 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×332053862400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332053862407) by changing a digit.

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, 161739774 + ... + 161741826.

Almost surely, 2^332053862400 is an apocalyptic number.

332053862400 is a gapful number since it is divisible by the number (30) 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 332053862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664378336440).

332053862400 is an abundant number, since it is smaller than the sum of its proper divisors (996702810480).

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

332053862400 is a wasteful number, since it uses less digits than its factorization.

332053862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 332053862400 in words is "three hundred thirty-two billion, fifty-three million, eight hundred sixty-two thousand, four hundred".