31161335040 has 720 divisors, whose sum is σ = 123404783040. Its totient is φ = 7445053440.

The previous prime is 31161335033. The next prime is 31161335059. The reversal of 31161335040 is 4053316113.

31161335040 is a `hidden beast` number, since 3 + 1 + 1 + 613 + 3 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31161334995 and 31161335013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 101502567 + ... + 101502873.

It is an arithmetic number, because the mean of its divisors is an integer number (171395532).

Almost surely, 2^31161335040 is an apocalyptic number.

31161335040 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 31161335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61702391520).

31161335040 is an abundant number, since it is smaller than the sum of its proper divisors (92243448000).

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

31161335040 is a wasteful number, since it uses less digits than its factorization.

31161335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 31161335040 in words is "thirty-one billion, one hundred sixty-one million, three hundred thirty-five thousand, forty".