481408220160 has 440 divisors, whose sum is σ = 1971548890080. Its totient is φ = 110035501056.

The previous prime is 481408220159. The next prime is 481408220171. The reversal of 481408220160 is 61022804184.

481408220160 is a `hidden beast` number, since 48 + 1 + 408 + 2 + 201 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2820126 + ... + 2985954.

It is an arithmetic number, because the mean of its divisors is an integer number (4480792932).

Almost surely, 2^481408220160 is an apocalyptic number.

481408220160 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 481408220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985774445040).

481408220160 is an abundant number, since it is smaller than the sum of its proper divisors (1490140669920).

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

481408220160 is a wasteful number, since it uses less digits than its factorization.

481408220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165873 (or 165846 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 481408220160 in words is "four hundred eighty-one billion, four hundred eight million, two hundred twenty thousand, one hundred sixty".