4595958408960 has 432 divisors, whose sum is σ = 17146748979360. Its totient is φ = 1132762890240.

The previous prime is 4595958408953. The next prime is 4595958409037. The reversal of 4595958408960 is 698048595954.

4595958408960 is a `hidden beast` number, since 45 + 9 + 5 + 95 + 8 + 408 + 96 + 0 = 666.

It is a super-2 number, since 2×4595958408960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8718012 + ... + 9230148.

Almost surely, 2^{4595958408960} is an apocalyptic number.

4595958408960 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 4595958408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8573374489680).

4595958408960 is an abundant number, since it is smaller than the sum of its proper divisors (12550790570400).

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

4595958408960 is a wasteful number, since it uses less digits than its factorization.

4595958408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512224 (or 512207 counting only the distinct ones).

The product of its (nonzero) digits is 559872000, while the sum is 72.

The spelling of 4595958408960 in words is "four trillion, five hundred ninety-five billion, nine hundred fifty-eight million, four hundred eight thousand, nine hundred sixty".