44000544000400 has 120 divisors (see below), whose sum is σ = 114887378134760. Its totient is φ = 16097305374720.

The previous prime is 44000544000353. The next prime is 44000544000401. The reversal of 44000544000400 is 400044500044.

It can be written as a sum of positive squares in 12 ways, for example, as 24777019433104 + 19223524567296 = 4977652^2 + 4384464^2 .

It is a super-2 number, since 2×44000544000400² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (44000544000401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38248077 + ... + 39381676.

Almost surely, 2^{44000544000400} is an apocalyptic number.

44000544000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44000544000400 is an abundant number, since it is smaller than the sum of its proper divisors (70886834134360).

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

44000544000400 is a wasteful number, since it uses less digits than its factorization.

44000544000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77629893 (or 77629882 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 44000544000400 its reverse (400044500044), we get a palindrome (44400588500444).

The spelling of 44000544000400 in words is "forty-four trillion, five hundred forty-four million, four hundred", and thus it is an aban number.