332112614400 has 1056 divisors, whose sum is σ = 1412339604480. Its totient is φ = 74906173440.

The previous prime is 332112614341. The next prime is 332112614411. The reversal of 332112614400 is 4416211233.

It is a happy number.

332112614400 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 1 + 2 + 614 + 40 + 0 = 666.

It is a super-2 number, since 2×332112614400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401586787 + ... + 401587613.

Almost surely, 2^332112614400 is an apocalyptic number.

332112614400 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 332112614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706169802240).

332112614400 is an abundant number, since it is smaller than the sum of its proper divisors (1080226990080).

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

332112614400 is a wasteful number, since it uses less digits than its factorization.

332112614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 332112614400 its reverse (4416211233), we get a palindrome (336528825633).

The spelling of 332112614400 in words is "three hundred thirty-two billion, one hundred twelve million, six hundred fourteen thousand, four hundred".