451380200008320 has 384 divisors, whose sum is σ = 1700473210188480. Its totient is φ = 109418843750400.

The previous prime is 451380200008319. The next prime is 451380200008373. The reversal of 451380200008320 is 23800002083154.

451380200008320 is a `hidden beast` number, since 4 + 51 + 3 + 80 + 200 + 0 + 0 + 8 + 320 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1083691300 + ... + 1084107740.

Almost surely, 2^{451380200008320} is an apocalyptic number.

451380200008320 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 451380200008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850236605094240).

451380200008320 is an abundant number, since it is smaller than the sum of its proper divisors (1249093010180160).

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

451380200008320 is a wasteful number, since it uses less digits than its factorization.

451380200008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433584 (or 433569 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 451380200008320 in words is "four hundred fifty-one trillion, three hundred eighty billion, two hundred million, eight thousand, three hundred twenty".