451493082086400 has 528 divisors, whose sum is σ = 1668570025581280. Its totient is φ = 119631259238400.

The previous prime is 451493082086311. The next prime is 451493082086407. The reversal of 451493082086400 is 4680280394154.

451493082086400 is a `hidden beast` number, since 4 + 51 + 4 + 9 + 30 + 82 + 0 + 86 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451493082086407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106438140 + ... + 110598660.

Almost surely, 2^{451493082086400} is an apocalyptic number.

451493082086400 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 451493082086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834285012790640).

451493082086400 is an abundant number, since it is smaller than the sum of its proper divisors (1217076943494880).

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

451493082086400 is a wasteful number, since it uses less digits than its factorization.

451493082086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160717 (or 4160688 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 451493082086400 in words is "four hundred fifty-one trillion, four hundred ninety-three billion, eighty-two million, eighty-six thousand, four hundred".