31041027072 has 264 divisors, whose sum is σ = 98589284352. Its totient is φ = 9328435200.

The previous prime is 31041027023. The next prime is 31041027091. The reversal of 31041027072 is 27072014013.

It is a happy number.

31041027072 is a `hidden beast` number, since 310 + 4 + 10 + 270 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12873547 + ... + 12875957.

Almost surely, 2^31041027072 is an apocalyptic number.

31041027072 is a gapful number since it is divisible by the number (32) 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 31041027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49294642176).

31041027072 is an abundant number, since it is smaller than the sum of its proper divisors (67548257280).

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

31041027072 is a wasteful number, since it uses less digits than its factorization.

31041027072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 31041027072 in words is "thirty-one billion, forty-one million, twenty-seven thousand, seventy-two".