4485790108800 has 5376 divisors, whose sum is σ = 23828607371520. Its totient is φ = 802632499200.

The previous prime is 4485790108799. The next prime is 4485790108823. The reversal of 4485790108800 is 88010975844.

4485790108800 is a `hidden beast` number, since 4 + 485 + 79 + 0 + 10 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 671 ways as a sum of consecutive naturals, for example, 39697257544 + ... + 39697257656.

It is an arithmetic number, because the mean of its divisors is an integer number (4432404645).

Almost surely, 2^{4485790108800} is an apocalyptic number.

4485790108800 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 4485790108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11914303685760).

4485790108800 is an abundant number, since it is smaller than the sum of its proper divisors (19342817262720).

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

4485790108800 is a wasteful number, since it uses less digits than its factorization.

4485790108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 4485790108800 in words is "four trillion, four hundred eighty-five billion, seven hundred ninety million, one hundred eight thousand, eight hundred".