45442406400 has 576 divisors, whose sum is σ = 165251923200. Its totient is φ = 10964828160.

The previous prime is 45442406363. The next prime is 45442406431. The reversal of 45442406400 is 460424454.

It is a congruent number.

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, 67122862 + ... + 67123538.

It is an arithmetic number, because the mean of its divisors is an integer number (286895700).

Almost surely, 2^45442406400 is an apocalyptic number.

45442406400 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 45442406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82625961600).

45442406400 is an abundant number, since it is smaller than the sum of its proper divisors (119809516800).

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

45442406400 is a wasteful number, since it uses less digits than its factorization.

45442406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The spelling of 45442406400 in words is "forty-five billion, four hundred forty-two million, four hundred six thousand, four hundred".