4611131904960 has 336 divisors, whose sum is σ = 18130106382336. Its totient is φ = 1053742381056.

The previous prime is 4611131904959. The next prime is 4611131905013. The reversal of 4611131904960 is 694091311164.

4611131904960 is a `hidden beast` number, since 4 + 61 + 1 + 13 + 1 + 90 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102531439 + ... + 102576401.

Almost surely, 2^{4611131904960} is an apocalyptic number.

4611131904960 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 4611131904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9065053191168).

4611131904960 is an abundant number, since it is smaller than the sum of its proper divisors (13518974477376).

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

4611131904960 is a wasteful number, since it uses less digits than its factorization.

4611131904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50080 (or 50067 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 4611131904960 in words is "four trillion, six hundred eleven billion, one hundred thirty-one million, nine hundred four thousand, nine hundred sixty".