2044400200400 has 120 divisors (see below), whose sum is σ = 4985307955584. Its totient is φ = 805591321600.

The previous prime is 2044400200301. The next prime is 2044400200471. The reversal of 2044400200400 is 40020044402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7036409 + ... + 7321191.

Almost surely, 2^{2044400200400} is an apocalyptic number.

2044400200400 is a gapful number since it is divisible by the number (20) 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 2044400200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492653977792).

2044400200400 is an abundant number, since it is smaller than the sum of its proper divisors (2940907755184).

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

2044400200400 is a wasteful number, since it uses less digits than its factorization.

2044400200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285069 (or 285058 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2044400200400 its reverse (40020044402), we get a palindrome (2084420244802).

The spelling of 2044400200400 in words is "two trillion, forty-four billion, four hundred million, two hundred thousand, four hundred".