31009144320 has 1080 divisors, whose sum is σ = 137921375592. Its totient is φ = 6415073280.

The previous prime is 31009144279. The next prime is 31009144339. The reversal of 31009144320 is 2344190013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 136604047 + ... + 136604273.

Almost surely, 2^31009144320 is an apocalyptic number.

31009144320 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 31009144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68960687796).

31009144320 is an abundant number, since it is smaller than the sum of its proper divisors (106912231272).

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

31009144320 is a wasteful number, since it uses less digits than its factorization.

31009144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 31009144320 in words is "thirty-one billion, nine million, one hundred forty-four thousand, three hundred twenty".