4000804248960 has 192 divisors, whose sum is σ = 13816865846160. Its totient is φ = 1066758451200.

The previous prime is 4000804248943. The next prime is 4000804248967. The reversal of 4000804248960 is 698424080004.

4000804248960 is a `hidden beast` number, since 400 + 0 + 80 + 42 + 48 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4000804248960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000804248967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57167590 + ... + 57237530.

Almost surely, 2^{4000804248960} is an apocalyptic number.

4000804248960 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 4000804248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6908432923080).

4000804248960 is an abundant number, since it is smaller than the sum of its proper divisors (9816061597200).

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

4000804248960 is a wasteful number, since it uses less digits than its factorization.

4000804248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79897 (or 79882 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 4000804248960 in words is "four trillion, eight hundred four million, two hundred forty-eight thousand, nine hundred sixty".