31968376440 has 256 divisors, whose sum is σ = 128768209920. Its totient is φ = 6131773440.

The previous prime is 31968376421. The next prime is 31968376441. The reversal of 31968376440 is 4467386913.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31968376441) 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, 12949 + ... + 253188.

It is an arithmetic number, because the mean of its divisors is an integer number (503000820).

Almost surely, 2^31968376440 is an apocalyptic number.

31968376440 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 31968376440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64384104960).

31968376440 is an abundant number, since it is smaller than the sum of its proper divisors (96799833480).

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

31968376440 is a wasteful number, since it uses less digits than its factorization.

31968376440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266182 (or 266178 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 31968376440 in words is "thirty-one billion, nine hundred sixty-eight million, three hundred seventy-six thousand, four hundred forty".