44044134400 has 144 divisors (see below), whose sum is σ = 124804199520. Its totient is φ = 15100723200.

The previous prime is 44044134371. The next prime is 44044134401. The reversal of 44044134400 is 443144044.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (44044134401) 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, 296955 + ... + 419845.

It is an arithmetic number, because the mean of its divisors is an integer number (866695830).

Almost surely, 2^44044134400 is an apocalyptic number.

44044134400 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 44044134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62402099760).

44044134400 is an abundant number, since it is smaller than the sum of its proper divisors (80760065120).

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

44044134400 is a wasteful number, since it uses less digits than its factorization.

44044134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122930 (or 122905 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 44044134400 its reverse (443144044), we get a palindrome (44487278444).

The spelling of 44044134400 in words is "forty-four billion, forty-four million, one hundred thirty-four thousand, four hundred".