481216982400 has 3072 divisors, whose sum is σ = 2389561344000. Its totient is φ = 92714803200.

The previous prime is 481216982399. The next prime is 481216982417. The reversal of 481216982400 is 4289612184.

481216982400 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 169 + 82 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10238659177 + ... + 10238659223.

It is an arithmetic number, because the mean of its divisors is an integer number (777852000).

Almost surely, 2^481216982400 is an apocalyptic number.

481216982400 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 481216982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194780672000).

481216982400 is an abundant number, since it is smaller than the sum of its proper divisors (1908344361600).

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

481216982400 is a wasteful number, since it uses less digits than its factorization.

481216982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 481216982400 in words is "four hundred eighty-one billion, two hundred sixteen million, nine hundred eighty-two thousand, four hundred".