481821961420800 has 8568 divisors, whose sum is σ = 2496667855315968. Its totient is φ = 89436192768000.

The previous prime is 481821961420783. The next prime is 481821961420853. The reversal of 481821961420800 is 8024169128184.

481821961420800 is a `hidden beast` number, since 4 + 8 + 1 + 8 + 2 + 19 + 614 + 2 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 15542643916785 + ... + 15542643916815.

Almost surely, 2^{481821961420800} is an apocalyptic number.

481821961420800 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 481821961420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248333927657984).

481821961420800 is an abundant number, since it is smaller than the sum of its proper divisors (2014845893895168).

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

481821961420800 is an equidigital number, since it uses as much as digits as its factorization.

481821961420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 481821961420800 in words is "four hundred eighty-one trillion, eight hundred twenty-one billion, nine hundred sixty-one million, four hundred twenty thousand, eight hundred".