4610577404160 has 3456 divisors, whose sum is σ = 22105434193920. Its totient is φ = 885045657600.

The previous prime is 4610577404159. The next prime is 4610577404177. The reversal of 4610577404160 is 614047750164.

4610577404160 is a `hidden beast` number, since 4 + 6 + 10 + 5 + 77 + 404 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35195247295 + ... + 35195247425.

It is an arithmetic number, because the mean of its divisors is an integer number (6396248320).

Almost surely, 2^{4610577404160} is an apocalyptic number.

4610577404160 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 4610577404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11052717096960).

4610577404160 is an abundant number, since it is smaller than the sum of its proper divisors (17494856789760).

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

4610577404160 is a wasteful number, since it uses less digits than its factorization.

4610577404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 4610577404160 in words is "four trillion, six hundred ten billion, five hundred seventy-seven million, four hundred four thousand, one hundred sixty".