31999416540 has 576 divisors, whose sum is σ = 122613958656. Its totient is φ = 6072827904.

The previous prime is 31999416529. The next prime is 31999416571. The reversal of 31999416540 is 4561499913.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27752604 + ... + 27753756.

It is an arithmetic number, because the mean of its divisors is an integer number (212871456).

Almost surely, 2^31999416540 is an apocalyptic number.

31999416540 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 31999416540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61306979328).

31999416540 is an abundant number, since it is smaller than the sum of its proper divisors (90614542116).

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

31999416540 is a wasteful number, since it uses less digits than its factorization.

31999416540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 31999416540 in words is "thirty-one billion, nine hundred ninety-nine million, four hundred sixteen thousand, five hundred forty".