4605542928000 has 1536 divisors, whose sum is σ = 19945666540800. Its totient is φ = 1041378508800.

The previous prime is 4605542927959. The next prime is 4605542928083. The reversal of 4605542928000 is 8292455064.

4605542928000 is a `hidden beast` number, since 4 + 6 + 0 + 554 + 2 + 92 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×4605542928000² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2053294879 + ... + 2053297121.

Almost surely, 2^{4605542928000} is an apocalyptic number.

4605542928000 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 4605542928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9972833270400).

4605542928000 is an abundant number, since it is smaller than the sum of its proper divisors (15340123612800).

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

4605542928000 is a wasteful number, since it uses less digits than its factorization.

4605542928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 4605542928000 in words is "four trillion, six hundred five billion, five hundred forty-two million, nine hundred twenty-eight thousand".