31379040000 has 1080 divisors, whose sum is σ = 141450621312. Its totient is φ = 6497280000.

The previous prime is 31379039933. The next prime is 31379040019. The reversal of 31379040000 is 4097313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 110879859 + ... + 110880141.

Almost surely, 2^31379040000 is an apocalyptic number.

31379040000 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 31379040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70725310656).

31379040000 is an abundant number, since it is smaller than the sum of its proper divisors (110071581312).

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

31379040000 is a wasteful number, since it uses less digits than its factorization.

31379040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 31379040000 in words is "thirty-one billion, three hundred seventy-nine million, forty thousand".