31418513640 has 192 divisors, whose sum is σ = 105630220800. Its totient is φ = 8090611200.

The previous prime is 31418513593. The next prime is 31418513641. The reversal of 31418513640 is 4631581413.

31418513640 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 8 + 5 + 1 + 3 + 640 = 666.

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 = 31418513595 and 31418513604.

It is not an unprimeable number, because it can be changed into a prime (31418513641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5677675 + ... + 5683205.

It is an arithmetic number, because the mean of its divisors is an integer number (550157400).

Almost surely, 2^31418513640 is an apocalyptic number.

31418513640 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 31418513640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52815110400).

31418513640 is an abundant number, since it is smaller than the sum of its proper divisors (74211707160).

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

31418513640 is a wasteful number, since it uses less digits than its factorization.

31418513640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6088 (or 6081 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 31418513640 in words is "thirty-one billion, four hundred eighteen million, five hundred thirteen thousand, six hundred forty".