31242504000 has 448 divisors, whose sum is σ = 107110328832. Its totient is φ = 8017920000.

The previous prime is 31242503983. The next prime is 31242504067. The reversal of 31242504000 is 40524213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134087884 + ... + 134088116.

Almost surely, 2^31242504000 is an apocalyptic number.

31242504000 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 31242504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53555164416).

31242504000 is an abundant number, since it is smaller than the sum of its proper divisors (75867824832).

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

31242504000 is a wasteful number, since it uses less digits than its factorization.

31242504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The spelling of 31242504000 in words is "thirty-one billion, two hundred forty-two million, five hundred four thousand".