31425044152320 has 3840 divisors, whose sum is σ = 151822251504000. Its totient is φ = 6088116142080.

The previous prime is 31425044152319. The next prime is 31425044152373. The reversal of 31425044152320 is 2325144052413.

It is a happy number.

31425044152320 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 5 + 0 + 4 + 415 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×31425044152320² (a number of 28 digits) contains 22 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 191 ways as a sum of consecutive naturals, for example, 766464491500 + ... + 766464491540.

Almost surely, 2^{31425044152320} is an apocalyptic number.

31425044152320 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 31425044152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75911125752000).

31425044152320 is an abundant number, since it is smaller than the sum of its proper divisors (120397207351680).

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

31425044152320 is an equidigital number, since it uses as much as digits as its factorization.

31425044152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 31425044152320 in words is "thirty-one trillion, four hundred twenty-five billion, forty-four million, one hundred fifty-two thousand, three hundred twenty".