31406793113600 has 360 divisors, whose sum is σ = 78789352471200. Its totient is φ = 12417952645120.

The previous prime is 31406793113561. The next prime is 31406793113603. The reversal of 31406793113600 is 631139760413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31406793113603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13853899667 + ... + 13853901933.

It is an arithmetic number, because the mean of its divisors is an integer number (218859312420).

Almost surely, 2^{31406793113600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31406793113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39394676235600).

31406793113600 is an abundant number, since it is smaller than the sum of its proper divisors (47382559357600).

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

31406793113600 is a wasteful number, since it uses less digits than its factorization.

31406793113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 44.

The spelling of 31406793113600 in words is "thirty-one trillion, four hundred six billion, seven hundred ninety-three million, one hundred thirteen thousand, six hundred".