31920424704000 has 1536 divisors, whose sum is σ = 138161740953600. Its totient is φ = 7117701120000.

The previous prime is 31920424703989. The next prime is 31920424704079. The reversal of 31920424704000 is 40742402913.

31920424704000 is a `hidden beast` number, since 3 + 1 + 9 + 2 + 0 + 4 + 247 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×31920424704000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1983735955 + ... + 1983752045.

It is an arithmetic number, because the mean of its divisors is an integer number (89949050100).

Almost surely, 2^{31920424704000} is an apocalyptic number.

31920424704000 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 31920424704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69080870476800).

31920424704000 is an abundant number, since it is smaller than the sum of its proper divisors (106241316249600).

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

31920424704000 is a wasteful number, since it uses less digits than its factorization.

31920424704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16185 (or 16149 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 31920424704000 in words is "thirty-one trillion, nine hundred twenty billion, four hundred twenty-four million, seven hundred four thousand".