44142114400 has 144 divisors (see below), whose sum is σ = 110719257264. Its totient is φ = 17175674880.

The previous prime is 44142114397. The next prime is 44142114431. The reversal of 44142114400 is 441124144.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 8838304 + ... + 8843296.

It is an arithmetic number, because the mean of its divisors is an integer number (768883731).

Almost surely, 2^44142114400 is an apocalyptic number.

44142114400 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 44142114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55359628632).

44142114400 is an abundant number, since it is smaller than the sum of its proper divisors (66577142864).

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

44142114400 is a wasteful number, since it uses less digits than its factorization.

44142114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313 (or 5300 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 44142114400 its reverse (441124144), we get a palindrome (44583238544).

The spelling of 44142114400 in words is "forty-four billion, one hundred forty-two million, one hundred fourteen thousand, four hundred".