4312979032320 has 1080 divisors, whose sum is σ = 18736716191424. Its totient is φ = 927789023232.

The previous prime is 4312979032319. The next prime is 4312979032381. The reversal of 4312979032320 is 232309792134.

4312979032320 is a `hidden beast` number, since 4 + 3 + 1 + 297 + 9 + 0 + 32 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 209734359 + ... + 209754921.

Almost surely, 2^{4312979032320} is an apocalyptic number.

4312979032320 is a gapful number since it is divisible by the number (40) 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 4312979032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9368358095712).

4312979032320 is an abundant number, since it is smaller than the sum of its proper divisors (14423737159104).

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

4312979032320 is a wasteful number, since it uses less digits than its factorization.

4312979032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20637 (or 20597 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 4312979032320 in words is "four trillion, three hundred twelve billion, nine hundred seventy-nine million, thirty-two thousand, three hundred twenty".