31409790160 has 80 divisors (see below), whose sum is σ = 83527261056. Its totient is φ = 10760431104.

The previous prime is 31409790151. The next prime is 31409790193. The reversal of 31409790160 is 6109790413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×31409790160³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696622 + ... + 740338.

Almost surely, 2^31409790160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31409790160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41763630528).

31409790160 is an abundant number, since it is smaller than the sum of its proper divisors (52117470896).

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

31409790160 is a wasteful number, since it uses less digits than its factorization.

31409790160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45020 (or 45014 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The spelling of 31409790160 in words is "thirty-one billion, four hundred nine million, seven hundred ninety thousand, one hundred sixty".