31416645170640 has 160 divisors (see below), whose sum is σ = 102549688542720. Its totient is φ = 7934342625792.

The previous prime is 31416645170611. The next prime is 31416645170663. The reversal of 31416645170640 is 4607154661413.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 31416645170640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13451827 + ... + 15613613.

It is an arithmetic number, because the mean of its divisors is an integer number (640935553392).

Almost surely, 2^{31416645170640} is an apocalyptic number.

31416645170640 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 31416645170640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51274844271360).

31416645170640 is an abundant number, since it is smaller than the sum of its proper divisors (71133043372080).

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

31416645170640 is a wasteful number, since it uses less digits than its factorization.

31416645170640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165009 (or 2165003 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 31416645170640 in words is "thirty-one trillion, four hundred sixteen billion, six hundred forty-five million, one hundred seventy thousand, six hundred forty".