44413144400 has 60 divisors (see below), whose sum is σ = 106833335964. Its totient is φ = 17743488000.

The previous prime is 44413144397. The next prime is 44413144409. The reversal of 44413144400 is 444131444.

44413144400 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 6 ways, for example, as 758892304 + 43654252096 = 27548^2 + 208936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44413144409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260780 + ... + 396020.

Almost surely, 2^44413144400 is an apocalyptic number.

44413144400 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 44413144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53416667982).

44413144400 is an abundant number, since it is smaller than the sum of its proper divisors (62420191564).

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

44413144400 is a wasteful number, since it uses less digits than its factorization.

44413144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136080 (or 136069 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 44413144400 its reverse (444131444), we get a palindrome (44857275844).

44413144400 divided by its reverse (444131444) gives a square (100 = 10²).

The spelling of 44413144400 in words is "forty-four billion, four hundred thirteen million, one hundred forty-four thousand, four hundred".