332466972230400 has 648 divisors, whose sum is σ = 1276513054591824. Its totient is φ = 75982543257600.

The previous prime is 332466972230399. The next prime is 332466972230423. The reversal of 332466972230400 is 4032279664233.

It is a super-2 number, since 2×332466972230400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9145498624 + ... + 9145534976.

Almost surely, 2^{332466972230400} is an apocalyptic number.

332466972230400 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 332466972230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638256527295912).

332466972230400 is an abundant number, since it is smaller than the sum of its proper divisors (944046082361424).

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

332466972230400 is a wasteful number, since it uses less digits than its factorization.

332466972230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46117 (or 46091 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 51.

The spelling of 332466972230400 in words is "three hundred thirty-two trillion, four hundred sixty-six billion, nine hundred seventy-two million, two hundred thirty thousand, four hundred".