31273416480 has 192 divisors, whose sum is σ = 104983216128. Its totient is φ = 7807134720.

The previous prime is 31273416451. The next prime is 31273416511. The reversal of 31273416480 is 8461437213.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488745 + ... + 549015.

It is an arithmetic number, because the mean of its divisors is an integer number (546787584).

Almost surely, 2^31273416480 is an apocalyptic number.

31273416480 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 31273416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52491608064).

31273416480 is an abundant number, since it is smaller than the sum of its proper divisors (73709799648).

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

31273416480 is a wasteful number, since it uses less digits than its factorization.

31273416480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60359 (or 60351 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 31273416480 in words is "thirty-one billion, two hundred seventy-three million, four hundred sixteen thousand, four hundred eighty".