31368486240 has 1152 divisors, whose sum is σ = 142391208960. Its totient is φ = 6103351296.

The previous prime is 31368486217. The next prime is 31368486269. The reversal of 31368486240 is 4268486313.

31368486240 is a `hidden beast` number, since 3 + 1 + 368 + 48 + 6 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 107059534 + ... + 107059826.

It is an arithmetic number, because the mean of its divisors is an integer number (123603480).

Almost surely, 2^31368486240 is an apocalyptic number.

31368486240 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 31368486240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71195604480).

31368486240 is an abundant number, since it is smaller than the sum of its proper divisors (111022722720).

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

31368486240 is a wasteful number, since it uses less digits than its factorization.

31368486240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 31368486240 in words is "thirty-one billion, three hundred sixty-eight million, four hundred eighty-six thousand, two hundred forty".