2144405204400 has 120 divisors (see below), whose sum is σ = 6871718373840. Its totient is φ = 571635461120.

The previous prime is 2144405204377. The next prime is 2144405204437. The reversal of 2144405204400 is 44025044412.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3026434 + ... + 3667166.

It is an arithmetic number, because the mean of its divisors is an integer number (57264319782).

Almost surely, 2^{2144405204400} is an apocalyptic number.

2144405204400 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 2144405204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435859186920).

2144405204400 is an abundant number, since it is smaller than the sum of its proper divisors (4727313169440).

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

2144405204400 is a wasteful number, since it uses less digits than its factorization.

2144405204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643543 (or 643532 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The spelling of 2144405204400 in words is "two trillion, one hundred forty-four billion, four hundred five million, two hundred four thousand, four hundred".