451488280373760 has 480 divisors, whose sum is σ = 1679154101634240. Its totient is φ = 103187901186048.

The previous prime is 451488280373759. The next prime is 451488280373773. The reversal of 451488280373760 is 67373082884154.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 451488280373691 and 451488280373700.

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, 4646374456 + ... + 4646471624.

It is an arithmetic number, because the mean of its divisors is an integer number (3498237711738).

Almost surely, 2^{451488280373760} is an apocalyptic number.

451488280373760 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 451488280373760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839577050817120).

451488280373760 is an abundant number, since it is smaller than the sum of its proper divisors (1227665821260480).

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

451488280373760 is a wasteful number, since it uses less digits than its factorization.

451488280373760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109556 (or 109533 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 66.

The spelling of 451488280373760 in words is "four hundred fifty-one trillion, four hundred eighty-eight billion, two hundred eighty million, three hundred seventy-three thousand, seven hundred sixty".