2444402420400 has 120 divisors (see below), whose sum is σ = 7832199510720. Its totient is φ = 651677169920.

The previous prime is 2444402420363. The next prime is 2444402420413. The reversal of 2444402420400 is 40242044442.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4569379 + ... + 5076221.

It is an arithmetic number, because the mean of its divisors is an integer number (65268329256).

Almost surely, 2^{2444402420400} is an apocalyptic number.

2444402420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2444402420400 is an abundant number, since it is smaller than the sum of its proper divisors (5387797090320).

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

2444402420400 is a wasteful number, since it uses less digits than its factorization.

2444402420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510883 (or 510872 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 2444402420400 its reverse (40242044442), we get a palindrome (2484644464842).

The spelling of 2444402420400 in words is "two trillion, four hundred forty-four billion, four hundred two million, four hundred twenty thousand, four hundred".