481252767744000 has 2880 divisors, whose sum is σ = 1929772454658048. Its totient is φ = 106125852672000.

The previous prime is 481252767743947. The next prime is 481252767744019. The reversal of 481252767744000 is 447767252184.

It is a happy number.

It is a super-2 number, since 2×481252767744000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1567598591847 + ... + 1567598592153.

Almost surely, 2^{481252767744000} is an apocalyptic number.

481252767744000 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 481252767744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964886227329024).

481252767744000 is an abundant number, since it is smaller than the sum of its proper divisors (1448519686914048).

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

481252767744000 is a wasteful number, since it uses less digits than its factorization.

481252767744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 57.

The spelling of 481252767744000 in words is "four hundred eighty-one trillion, two hundred fifty-two billion, seven hundred sixty-seven million, seven hundred forty-four thousand".