31406916240 has 320 divisors, whose sum is σ = 123806361600. Its totient is φ = 7168697856.

The previous prime is 31406916239. The next prime is 31406916241. The reversal of 31406916240 is 4261960413.

31406916240 is a `hidden beast` number, since 3 + 1 + 406 + 9 + 1 + 6 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (31406916239) and next prime (31406916241).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31406916195 and 31406916204.

It is not an unprimeable number, because it can be changed into a prime (31406916241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19398151 + ... + 19399769.

It is an arithmetic number, because the mean of its divisors is an integer number (386894880).

Almost surely, 2^31406916240 is an apocalyptic number.

31406916240 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 31406916240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61903180800).

31406916240 is an abundant number, since it is smaller than the sum of its proper divisors (92399445360).

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

31406916240 is a wasteful number, since it uses less digits than its factorization.

31406916240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 31406916240 in words is "thirty-one billion, four hundred six million, nine hundred sixteen thousand, two hundred forty".