31442352157020 has 192 divisors, whose sum is σ = 103915563687936. Its totient is φ = 6951349186560.

The previous prime is 31442352156931. The next prime is 31442352157031. The reversal of 31442352157020 is 2075125324413.

It is a self number, because there is not a number n which added to its sum of digits gives 31442352157020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24276072 + ... + 25538448.

It is an arithmetic number, because the mean of its divisors is an integer number (541226894208).

Almost surely, 2^{31442352157020} is an apocalyptic number.

31442352157020 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 31442352157020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51957781843968).

31442352157020 is an abundant number, since it is smaller than the sum of its proper divisors (72473211530916).

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

31442352157020 is a wasteful number, since it uses less digits than its factorization.

31442352157020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264340 (or 1264338 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 31442352157020 in words is "thirty-one trillion, four hundred forty-two billion, three hundred fifty-two million, one hundred fifty-seven thousand, twenty".