481814263118400 has 168 divisors, whose sum is σ = 1588695776932800. Its totient is φ = 127838155991040.

The previous prime is 481814263118327. The next prime is 481814263118449. The reversal of 481814263118400 is 4811362418184.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251250759 + ... + 253161158.

Almost surely, 2^{481814263118400} is an apocalyptic number.

481814263118400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481814263118400 is an abundant number, since it is smaller than the sum of its proper divisors (1106881513814400).

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

481814263118400 is a wasteful number, since it uses less digits than its factorization.

481814263118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504412141 (or 504412126 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 481814263118400 in words is "four hundred eighty-one trillion, eight hundred fourteen billion, two hundred sixty-three million, one hundred eighteen thousand, four hundred".