4561515129600 has 3456 divisors, whose sum is σ = 20740162544640. Its totient is φ = 978208358400.

The previous prime is 4561515129599. The next prime is 4561515129617. The reversal of 4561515129600 is 69215151654.

4561515129600 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 5 + 15 + 1 + 29 + 600 = 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, 86066323174 + ... + 86066323226.

It is an arithmetic number, because the mean of its divisors is an integer number (6001204440).

Almost surely, 2^{4561515129600} is an apocalyptic number.

4561515129600 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 4561515129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10370081272320).

4561515129600 is an abundant number, since it is smaller than the sum of its proper divisors (16178647415040).

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

4561515129600 is a wasteful number, since it uses less digits than its factorization.

4561515129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 4561515129600 in words is "four trillion, five hundred sixty-one billion, five hundred fifteen million, one hundred twenty-nine thousand, six hundred".