332407869244416 has 1408 divisors, whose sum is σ = 1198012612608000. Its totient is φ = 88937533440000.

The previous prime is 332407869244403. The next prime is 332407869244421. The reversal of 332407869244416 is 614442968704233.

332407869244416 is a `hidden beast` number, since 3 + 3 + 2 + 40 + 78 + 69 + 24 + 441 + 6 = 666.

It is a super-2 number, since 2×332407869244416² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128293271281 + ... + 128293273871.

Almost surely, 2^{332407869244416} is an apocalyptic number.

332407869244416 is a gapful number since it is divisible by the number (36) 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 332407869244416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599006306304000).

332407869244416 is an abundant number, since it is smaller than the sum of its proper divisors (865604743363584).

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

332407869244416 is a wasteful number, since it uses less digits than its factorization.

332407869244416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 332407869244416 in words is "three hundred thirty-two trillion, four hundred seven billion, eight hundred sixty-nine million, two hundred forty-four thousand, four hundred sixteen".