31298791944420 has 4032 divisors, whose sum is σ = 145297176084480. Its totient is φ = 5487305472000.

The previous prime is 31298791944377. The next prime is 31298791944443. The reversal of 31298791944420 is 2444919789213.

31298791944420 is a `hidden beast` number, since 3 + 1 + 2 + 9 + 87 + 91 + 9 + 44 + 420 = 666.

It is a super-2 number, since 2×31298791944420² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 94558283655 + ... + 94558283985.

Almost surely, 2^{31298791944420} is an apocalyptic number.

31298791944420 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 31298791944420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72648588042240).

31298791944420 is an abundant number, since it is smaller than the sum of its proper divisors (113998384140060).

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

31298791944420 is a wasteful number, since it uses less digits than its factorization.

31298791944420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 31298791944420 in words is "thirty-one trillion, two hundred ninety-eight billion, seven hundred ninety-one million, nine hundred forty-four thousand, four hundred twenty".