31278304045920 has 384 divisors, whose sum is σ = 104563497507840. Its totient is φ = 7847190650880.

The previous prime is 31278304045907. The next prime is 31278304045921. The reversal of 31278304045920 is 2954040387213.

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 31278304045920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31278304045921) 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, 90683709 + ... + 91027971.

It is an arithmetic number, because the mean of its divisors is an integer number (272300774760).

Almost surely, 2^{31278304045920} is an apocalyptic number.

31278304045920 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 31278304045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52281748753920).

31278304045920 is an abundant number, since it is smaller than the sum of its proper divisors (73285193461920).

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

31278304045920 is a wasteful number, since it uses less digits than its factorization.

31278304045920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344478 (or 344470 counting only the distinct ones).

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

The spelling of 31278304045920 in words is "thirty-one trillion, two hundred seventy-eight billion, three hundred four million, forty-five thousand, nine hundred twenty".