332344796774400 has 2268 divisors, whose sum is σ = 1296728867743848. Its totient is φ = 84449679114240.

The previous prime is 332344796774323. The next prime is 332344796774461. The reversal of 332344796774400 is 4477697443233.

332344796774400 is a `hidden beast` number, since 3 + 3 + 2 + 34 + 4 + 7 + 96 + 77 + 440 + 0 = 666.

It is a super-2 number, since 2×332344796774400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 1263668428669 + ... + 1263668428931.

It is an arithmetic number, because the mean of its divisors is an integer number (571749941686).

Almost surely, 2^{332344796774400} is an apocalyptic number.

332344796774400 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 332344796774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648364433871924).

332344796774400 is an abundant number, since it is smaller than the sum of its proper divisors (964384070969448).

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

332344796774400 is an frugal number, since it uses more digits than its factorization.

332344796774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 63.

The spelling of 332344796774400 in words is "three hundred thirty-two trillion, three hundred forty-four billion, seven hundred ninety-six million, seven hundred seventy-four thousand, four hundred".