4180799840256 has 1344 divisors, whose sum is σ = 14758618996800. Its totient is φ = 1158508707840.

The previous prime is 4180799840213. The next prime is 4180799840351. The reversal of 4180799840256 is 6520489970814.

4180799840256 is a `hidden beast` number, since 418 + 0 + 7 + 99 + 84 + 0 + 2 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4180799840193 and 4180799840202.

It is a congruent number.

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, 46975279060 + ... + 46975279148.

It is an arithmetic number, because the mean of its divisors is an integer number (10981115325).

Almost surely, 2^{4180799840256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4180799840256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7379309498400).

4180799840256 is an abundant number, since it is smaller than the sum of its proper divisors (10577819156544).

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

4180799840256 is a wasteful number, since it uses less digits than its factorization.

4180799840256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 4180799840256 in words is "four trillion, one hundred eighty billion, seven hundred ninety-nine million, eight hundred forty thousand, two hundred fifty-six".