2405791160640 has 1120 divisors, whose sum is σ = 10482101650944. Its totient is φ = 511737937920.

The previous prime is 2405791160639. The next prime is 2405791160741. The reversal of 2405791160640 is 460611975042.

2405791160640 is a `hidden beast` number, since 2 + 4 + 0 + 579 + 1 + 16 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×2405791160640² (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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 154397650 + ... + 154413230.

Almost surely, 2^{2405791160640} is an apocalyptic number.

2405791160640 is a gapful number since it is divisible by the number (20) 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 2405791160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241050825472).

2405791160640 is an abundant number, since it is smaller than the sum of its proper divisors (8076310490304).

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

2405791160640 is a wasteful number, since it uses less digits than its factorization.

2405791160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15677 (or 15658 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2405791160640 in words is "two trillion, four hundred five billion, seven hundred ninety-one million, one hundred sixty thousand, six hundred forty".