240978494871360 has 2240 divisors, whose sum is σ = 956828394086400. Its totient is φ = 57319247462400.

The previous prime is 240978494871319. The next prime is 240978494871421. The reversal of 240978494871360 is 63178494879042.

240978494871360 is a `hidden beast` number, since 2 + 4 + 0 + 9 + 7 + 8 + 4 + 9 + 487 + 136 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 217293502486 + ... + 217293503594.

Almost surely, 2^{240978494871360} is an apocalyptic number.

240978494871360 is a gapful number since it is divisible by the number (20) 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 240978494871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478414197043200).

240978494871360 is an abundant number, since it is smaller than the sum of its proper divisors (715849899215040).

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

240978494871360 is a wasteful number, since it uses less digits than its factorization.

240978494871360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 240978494871360 in words is "two hundred forty trillion, nine hundred seventy-eight billion, four hundred ninety-four million, eight hundred seventy-one thousand, three hundred sixty".