4120515436800 has 1728 divisors, whose sum is σ = 16876519833600. Its totient is φ = 865183334400.

The previous prime is 4120515436799. The next prime is 4120515436819. The reversal of 4120515436800 is 86345150214.

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, 8095314946 + ... + 8095315454.

Almost surely, 2^{4120515436800} is an apocalyptic number.

4120515436800 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 4120515436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8438259916800).

4120515436800 is an abundant number, since it is smaller than the sum of its proper divisors (12756004396800).

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

4120515436800 is a wasteful number, since it uses less digits than its factorization.

4120515436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 4120515436800 in words is "four trillion, one hundred twenty billion, five hundred fifteen million, four hundred thirty-six thousand, eight hundred".