31541207040 has 672 divisors, whose sum is σ = 132489976320. Its totient is φ = 6775898112.

The previous prime is 31541207039. The next prime is 31541207143. The reversal of 31541207040 is 4070214513.

31541207040 is a `hidden beast` number, since 31 + 541 + 20 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 31541206995 and 31541207013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43867801 + ... + 43868519.

Almost surely, 2^31541207040 is an apocalyptic number.

31541207040 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 31541207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66244988160).

31541207040 is an abundant number, since it is smaller than the sum of its proper divisors (100948769280).

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

31541207040 is a wasteful number, since it uses less digits than its factorization.

31541207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 31541207040 in words is "thirty-one billion, five hundred forty-one million, two hundred seven thousand, forty".