481495780800 has 504 divisors, whose sum is σ = 1804191667200. Its totient is φ = 121454069760.

The previous prime is 481495780769. The next prime is 481495780837. The reversal of 481495780800 is 8087594184.

481495780800 is a `hidden beast` number, since 4 + 8 + 1 + 495 + 78 + 0 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 297402391 + ... + 297404009.

Almost surely, 2^481495780800 is an apocalyptic number.

481495780800 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 481495780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902095833600).

481495780800 is an abundant number, since it is smaller than the sum of its proper divisors (1322695886400).

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

481495780800 is a wasteful number, since it uses less digits than its factorization.

481495780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 481495780800 in words is "four hundred eighty-one billion, four hundred ninety-five million, seven hundred eighty thousand, eight hundred".