45443104400 has 120 divisors (see below), whose sum is σ = 115697673000. Its totient is φ = 17122201600.

The previous prime is 45443104319. The next prime is 45443104409. The reversal of 45443104400 is 440134454.

45443104400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 21804656896 + 23638447504 = 147664^2 + 153748^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (45443104409) 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, 427826 + ... + 523374.

It is an arithmetic number, because the mean of its divisors is an integer number (964147275).

Almost surely, 2^45443104400 is an apocalyptic number.

45443104400 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 45443104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57848836500).

45443104400 is an abundant number, since it is smaller than the sum of its proper divisors (70254568600).

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

45443104400 is a wasteful number, since it uses less digits than its factorization.

45443104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95637 (or 95626 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 45443104400 its reverse (440134454), we get a palindrome (45883238854).

The spelling of 45443104400 in words is "forty-five billion, four hundred forty-three million, one hundred four thousand, four hundred".