4108864515840 has 1296 divisors, whose sum is σ = 17253908328384. Its totient is φ = 883692011520.

The previous prime is 4108864515817. The next prime is 4108864515853. The reversal of 4108864515840 is 485154688014.

4108864515840 is a `hidden beast` number, since 4 + 1 + 0 + 8 + 8 + 6 + 4 + 51 + 584 + 0 = 666.

It is a super-2 number, since 2×4108864515840² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2867315764 + ... + 2867317196.

Almost surely, 2^{4108864515840} is an apocalyptic number.

4108864515840 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 4108864515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8626954164192).

4108864515840 is an abundant number, since it is smaller than the sum of its proper divisors (13145043812544).

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

4108864515840 is a wasteful number, since it uses less digits than its factorization.

4108864515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 4108864515840 in words is "four trillion, one hundred eight billion, eight hundred sixty-four million, five hundred fifteen thousand, eight hundred forty".