31359421440 has 528 divisors, whose sum is σ = 116185754880. Its totient is φ = 7803371520.

The previous prime is 31359421391. The next prime is 31359421481. The reversal of 31359421440 is 4412495313.

31359421440 is a `hidden beast` number, since 3 + 1 + 3 + 594 + 21 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31359421395 and 31359421404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41425542 + ... + 41426298.

Almost surely, 2^31359421440 is an apocalyptic number.

31359421440 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 31359421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58092877440).

31359421440 is an abundant number, since it is smaller than the sum of its proper divisors (84826333440).

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

31359421440 is a wasteful number, since it uses less digits than its factorization.

31359421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 31359421440 in words is "thirty-one billion, three hundred fifty-nine million, four hundred twenty-one thousand, four hundred forty".