332874933350400 has 1872 divisors, whose sum is σ = 1461829291104000. Its totient is φ = 73460939489280.

The previous prime is 332874933350383. The next prime is 332874933350437. The reversal of 332874933350400 is 4053339478233.

332874933350400 is a `hidden beast` number, since 3 + 3 + 2 + 8 + 74 + 93 + 33 + 50 + 400 = 666.

It is a super-2 number, since 2×332874933350400² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5051256651 + ... + 5051322549.

Almost surely, 2^{332874933350400} is an apocalyptic number.

332874933350400 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 332874933350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730914645552000).

332874933350400 is an abundant number, since it is smaller than the sum of its proper divisors (1128954357753600).

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

332874933350400 is an equidigital number, since it uses as much as digits as its factorization.

332874933350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65984 (or 65945 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 332874933350400 in words is "three hundred thirty-two trillion, eight hundred seventy-four billion, nine hundred thirty-three million, three hundred fifty thousand, four hundred".