451319811400 has 96 divisors (see below), whose sum is σ = 1119525533280. Its totient is φ = 168611456000.

The previous prime is 451319811389. The next prime is 451319811403. The reversal of 451319811400 is 4118913154.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 451319811400.

It is not an unprimeable number, because it can be changed into a prime (451319811403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61246 + ... + 952045.

It is an arithmetic number, because the mean of its divisors is an integer number (11661724305).

Almost surely, 2^451319811400 is an apocalyptic number.

451319811400 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 451319811400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559762766640).

451319811400 is an abundant number, since it is smaller than the sum of its proper divisors (668205721880).

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

451319811400 is a wasteful number, since it uses less digits than its factorization.

451319811400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013455 (or 1013446 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 451319811400 in words is "four hundred fifty-one billion, three hundred nineteen million, eight hundred eleven thousand, four hundred".