31141957630080 has 256 divisors, whose sum is σ = 108305438774400. Its totient is φ = 7548425011200.

The previous prime is 31141957630079. The next prime is 31141957630097. The reversal of 31141957630080 is 8003675914113.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144120520 + ... + 144336440.

Almost surely, 2^{31141957630080} is an apocalyptic number.

31141957630080 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 31141957630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54152719387200).

31141957630080 is an abundant number, since it is smaller than the sum of its proper divisors (77163481144320).

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

31141957630080 is a wasteful number, since it uses less digits than its factorization.

31141957630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222783 (or 222771 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 31141957630080 in words is "thirty-one trillion, one hundred forty-one billion, nine hundred fifty-seven million, six hundred thirty thousand, eighty".