451826815440 has 640 divisors, whose sum is σ = 1884879360000. Its totient is φ = 86467461120.

The previous prime is 451826815423. The next prime is 451826815459. The reversal of 451826815440 is 44518628154.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 451826815440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119877876 + ... + 119881644.

It is an arithmetic number, because the mean of its divisors is an integer number (2945124000).

Almost surely, 2^451826815440 is an apocalyptic number.

451826815440 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 451826815440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942439680000).

451826815440 is an abundant number, since it is smaller than the sum of its proper divisors (1433052544560).

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

451826815440 is a wasteful number, since it uses less digits than its factorization.

451826815440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 451826815440 in words is "four hundred fifty-one billion, eight hundred twenty-six million, eight hundred fifteen thousand, four hundred forty".