1008240657960 has 256 divisors, whose sum is σ = 3211869024000. Its totient is φ = 252745687040.

The previous prime is 1008240657901. The next prime is 1008240657961. The reversal of 1008240657960 is 697560428001.

It is a super-2 number, since 2×1008240657960² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1008240657961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72617179 + ... + 72631061.

It is an arithmetic number, because the mean of its divisors is an integer number (12546363375).

Almost surely, 2^{1008240657960} is an apocalyptic number.

1008240657960 is a gapful number since it is divisible by the number (10) 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 1008240657960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605934512000).

1008240657960 is an abundant number, since it is smaller than the sum of its proper divisors (2203628366040).

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

1008240657960 is a wasteful number, since it uses less digits than its factorization.

1008240657960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14476 (or 14472 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 1008240657960 in words is "one trillion, eight billion, two hundred forty million, six hundred fifty-seven thousand, nine hundred sixty".