481363812720 has 600 divisors, whose sum is σ = 1955935655856. Its totient is φ = 110015345664.

The previous prime is 481363812719. The next prime is 481363812733. The reversal of 481363812720 is 27218363184.

481363812720 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 638 + 1 + 2 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×481363812720² (a number of 24 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 46670284 + ... + 46680596.

Almost surely, 2^481363812720 is an apocalyptic number.

481363812720 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 481363812720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977967827928).

481363812720 is an abundant number, since it is smaller than the sum of its proper divisors (1474571843136).

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

481363812720 is an equidigital number, since it uses as much as digits as its factorization.

481363812720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10369 (or 10330 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 481363812720 in words is "four hundred eighty-one billion, three hundred sixty-three million, eight hundred twelve thousand, seven hundred twenty".