452644093440 has 1920 divisors, whose sum is σ = 2059068211200. Its totient is φ = 91039334400.

The previous prime is 452644093427. The next prime is 452644093487. The reversal of 452644093440 is 44390446254.

452644093440 is a `hidden beast` number, since 4 + 5 + 264 + 40 + 9 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×452644093440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3564126657 + ... + 3564126783.

It is an arithmetic number, because the mean of its divisors is an integer number (1072431360).

Almost surely, 2^452644093440 is an apocalyptic number.

452644093440 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 452644093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029534105600).

452644093440 is an abundant number, since it is smaller than the sum of its proper divisors (1606424117760).

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

452644093440 is a wasteful number, since it uses less digits than its factorization.

452644093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 452644093440 in words is "four hundred fifty-two billion, six hundred forty-four million, ninety-three thousand, four hundred forty".