481224167424 has 2184 divisors, whose sum is σ = 2057559803712. Its totient is φ = 110361968640.

The previous prime is 481224167381. The next prime is 481224167477. The reversal of 481224167424 is 424761422184.

481224167424 is a `hidden beast` number, since 4 + 8 + 122 + 41 + 67 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (2184).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 481224167424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 20922789877 + ... + 20922789899.

Almost surely, 2^481224167424 is an apocalyptic number.

481224167424 is a gapful number since it is divisible by the number (44) 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 481224167424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028779901856).

481224167424 is an abundant number, since it is smaller than the sum of its proper divisors (1576335636288).

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

481224167424 is a wasteful number, since it uses less digits than its factorization.

481224167424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The spelling of 481224167424 in words is "four hundred eighty-one billion, two hundred twenty-four million, one hundred sixty-seven thousand, four hundred twenty-four".