2044340420400 has 180 divisors, whose sum is σ = 7104916817232. Its totient is φ = 544351541760.

The previous prime is 2044340420249. The next prime is 2044340420411. The reversal of 2044340420400 is 40240434402.

It is a happy number.

2044340420400 is a `hidden beast` number, since 20 + 4 + 434 + 0 + 4 + 204 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2017797 + ... + 2856603.

Almost surely, 2^{2044340420400} is an apocalyptic number.

2044340420400 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 2044340420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552458408616).

2044340420400 is an abundant number, since it is smaller than the sum of its proper divisors (5060576396832).

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

2044340420400 is a wasteful number, since it uses less digits than its factorization.

2044340420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839508 (or 839494 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 2044340420400 its reverse (40240434402), we get a palindrome (2084580854802).

The spelling of 2044340420400 in words is "two trillion, forty-four billion, three hundred forty million, four hundred twenty thousand, four hundred".