44000000400400 has 240 divisors, whose sum is σ = 117686051807040. Its totient is φ = 15672701491200.

The previous prime is 44000000400361. The next prime is 44000000400403. The reversal of 44000000400400 is 400400000044.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (44000000400403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144198394 + ... + 144503206.

It is an arithmetic number, because the mean of its divisors is an integer number (490358549196).

Almost surely, 2^{44000000400400} is an apocalyptic number.

44000000400400 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 44000000400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58843025903520).

44000000400400 is an abundant number, since it is smaller than the sum of its proper divisors (73686051406640).

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

44000000400400 is a wasteful number, since it uses less digits than its factorization.

44000000400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305514 (or 305503 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 44000000400400 its reverse (400400000044), we get a palindrome (44400400400444).

The spelling of 44000000400400 in words is "forty-four trillion, four hundred thousand, four hundred".