451998933120 has 384 divisors, whose sum is σ = 1786246750080. Its totient is φ = 103171276800.

The previous prime is 451998933109. The next prime is 451998933137. The reversal of 451998933120 is 21339899154.

451998933120 is a `hidden beast` number, since 4 + 519 + 9 + 8 + 93 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30676155 + ... + 30690885.

It is an arithmetic number, because the mean of its divisors is an integer number (4651684245).

Almost surely, 2^451998933120 is an apocalyptic number.

451998933120 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 451998933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893123375040).

451998933120 is an abundant number, since it is smaller than the sum of its proper divisors (1334247816960).

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

451998933120 is a wasteful number, since it uses less digits than its factorization.

451998933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15524 (or 15509 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 451998933120 in words is "four hundred fifty-one billion, nine hundred ninety-eight million, nine hundred thirty-three thousand, one hundred twenty".