4056560138880 has 768 divisors, whose sum is σ = 14962875932160. Its totient is φ = 1009171169280.

The previous prime is 4056560138879. The next prime is 4056560138909. The reversal of 4056560138880 is 888310656504.

4056560138880 is a `hidden beast` number, since 4 + 0 + 565 + 60 + 13 + 8 + 8 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9411972265 + ... + 9411972695.

It is an arithmetic number, because the mean of its divisors is an integer number (19482911370).

Almost surely, 2^{4056560138880} is an apocalyptic number.

4056560138880 is a gapful number since it is divisible by the number (40) 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 4056560138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481437966080).

4056560138880 is an abundant number, since it is smaller than the sum of its proper divisors (10906315793280).

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

4056560138880 is a wasteful number, since it uses less digits than its factorization.

4056560138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 4056560138880 in words is "four trillion, fifty-six billion, five hundred sixty million, one hundred thirty-eight thousand, eight hundred eighty".