5404014120960 has 2496 divisors, whose sum is σ = 25096322334720. Its totient is φ = 1043422248960.

The previous prime is 5404014120919. The next prime is 5404014120977. The reversal of 5404014120960 is 690214104045.

5404014120960 is a `hidden beast` number, since 5 + 4 + 0 + 401 + 41 + 209 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×5404014120960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9879367407 + ... + 9879367953.

It is an arithmetic number, because the mean of its divisors is an integer number (10054616320).

Almost surely, 2^{5404014120960} 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 5404014120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12548161167360).

5404014120960 is an abundant number, since it is smaller than the sum of its proper divisors (19692308213760).

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

5404014120960 is a wasteful number, since it uses less digits than its factorization.

5404014120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 5404014120960 in words is "five trillion, four hundred four billion, fourteen million, one hundred twenty thousand, nine hundred sixty".