31969452240480 has 192 divisors, whose sum is σ = 102631849528320. Its totient is φ = 8362588286976.

The previous prime is 31969452240377. The next prime is 31969452240503. The reversal of 31969452240480 is 8404225496913.

It is a self number, because there is not a number n which added to its sum of digits gives 31969452240480.

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, 11893084 + ... + 14331236.

It is an arithmetic number, because the mean of its divisors is an integer number (534540882960).

Almost surely, 2^{31969452240480} is an apocalyptic number.

31969452240480 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 31969452240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51315924764160).

31969452240480 is an abundant number, since it is smaller than the sum of its proper divisors (70662397287840).

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

31969452240480 is a wasteful number, since it uses less digits than its factorization.

31969452240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438693 (or 2438685 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 31969452240480 in words is "thirty-one trillion, nine hundred sixty-nine billion, four hundred fifty-two million, two hundred forty thousand, four hundred eighty".