31995469106640 has 600 divisors, whose sum is σ = 123942312502008. Its totient is φ = 7604211363840.

The previous prime is 31995469106563. The next prime is 31995469106683. The reversal of 31995469106640 is 4660196459913.

31995469106640 is a `hidden beast` number, since 3 + 1 + 9 + 9 + 5 + 469 + 106 + 64 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 17260834107456 + 14734634999184 = 4154616^2 + 3838572^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 70620030 + ... + 71071650.

Almost surely, 2^{31995469106640} is an apocalyptic number.

31995469106640 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 31995469106640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61971156251004).

31995469106640 is an abundant number, since it is smaller than the sum of its proper divisors (91946843395368).

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

31995469106640 is a wasteful number, since it uses less digits than its factorization.

31995469106640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451717 (or 451673 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 31995469106640 in words is "thirty-one trillion, nine hundred ninety-five billion, four hundred sixty-nine million, one hundred six thousand, six hundred forty".