31119358604040 has 1536 divisors, whose sum is σ = 137709998899200. Its totient is φ = 5918379540480.

The previous prime is 31119358604027. The next prime is 31119358604051. The reversal of 31119358604040 is 4040685391113.

31119358604040 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 9 + 35 + 8 + 604 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 767544009 + ... + 767584551.

It is an arithmetic number, because the mean of its divisors is an integer number (89654947200).

Almost surely, 2^{31119358604040} is an apocalyptic number.

31119358604040 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 31119358604040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68854999449600).

31119358604040 is an abundant number, since it is smaller than the sum of its proper divisors (106590640295160).

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

31119358604040 is a wasteful number, since it uses less digits than its factorization.

31119358604040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40667 (or 40660 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 31119358604040 in words is "thirty-one trillion, one hundred nineteen billion, three hundred fifty-eight million, six hundred four thousand, forty".