481657612800 has 1920 divisors, whose sum is σ = 2088491328000. Its totient is φ = 97108623360.

The previous prime is 481657612679. The next prime is 481657612817. The reversal of 481657612800 is 8216756184.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 481657612800.

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, 4965542352 + ... + 4965542448.

It is an arithmetic number, because the mean of its divisors is an integer number (1087755900).

Almost surely, 2^481657612800 is an apocalyptic number.

481657612800 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 481657612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044245664000).

481657612800 is an abundant number, since it is smaller than the sum of its proper divisors (1606833715200).

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

481657612800 is a wasteful number, since it uses less digits than its factorization.

481657612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 481657612800 in words is "four hundred eighty-one billion, six hundred fifty-seven million, six hundred twelve thousand, eight hundred".