480124108800 has 1152 divisors, whose sum is σ = 2056614127200. Its totient is φ = 109494927360.

The previous prime is 480124108777. The next prime is 480124108817. The reversal of 480124108800 is 8801421084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1083801379 + ... + 1083801821.

Almost surely, 2^480124108800 is an apocalyptic number.

480124108800 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 480124108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028307063600).

480124108800 is an abundant number, since it is smaller than the sum of its proper divisors (1576490018400).

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

480124108800 is an equidigital number, since it uses as much as digits as its factorization.

480124108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

Adding to 480124108800 its reverse (8801421084), we get a palindrome (488925529884).

The spelling of 480124108800 in words is "four hundred eighty billion, one hundred twenty-four million, one hundred eight thousand, eight hundred".