44108400400 has 45 divisors (see below), whose sum is σ = 105980524383. Its totient is φ = 17641680000.

The previous prime is 44108400389. The next prime is 44108400407. The reversal of 44108400400 is 400480144.

It is a happy number.

The square root of 44108400400 is 210020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5289943824 + 38818456576 = 72732^2 + 197024^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44108400407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4195150 + ... + 4205650.

Almost surely, 2^44108400400 is an apocalyptic number.

44108400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

44108400400 is the 210020-th square number.

It is an amenable number.

44108400400 is an abundant number, since it is smaller than the sum of its proper divisors (61872123983).

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

44108400400 is an frugal number, since it uses more digits than its factorization.

44108400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21020 (or 10508 counting only the distinct ones).

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

Multiplying 44108400400 by its sum of digits (25), we get a square (1102710010000 = 1050100²).

44108400400 divided by its sum of digits (25) gives a square (1764336016 = 42004²).

Adding to 44108400400 its reverse (400480144), we get a palindrome (44508880544).

The spelling of 44108400400 in words is "forty-four billion, one hundred eight million, four hundred thousand, four hundred".