45244438400 has 192 divisors, whose sum is σ = 128395666080. Its totient is φ = 15432130560.

The previous prime is 45244438399. The next prime is 45244438411. The reversal of 45244438400 is 483444254.

It is a super-2 number, since 2×45244438400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4407674 + ... + 4417926.

Almost surely, 2^45244438400 is an apocalyptic number.

45244438400 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 45244438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64197833040).

45244438400 is an abundant number, since it is smaller than the sum of its proper divisors (83151227680).

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

45244438400 is a wasteful number, since it uses less digits than its factorization.

45244438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10481 (or 10464 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 38.

The spelling of 45244438400 in words is "forty-five billion, two hundred forty-four million, four hundred thirty-eight thousand, four hundred".