2100443434400 has 36 divisors (see below), whose sum is σ = 5127707536182. Its totient is φ = 840177373440.

The previous prime is 2100443434399. The next prime is 2100443434421. The reversal of 2100443434400 is 44343440012.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1809961241104 + 290482193296 = 1345348^2 + 538964^2 .

It is a super-2 number, since 2×2100443434400² (a number of 25 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 1312776347 + ... + 1312777946.

Almost surely, 2^{2100443434400} is an apocalyptic number.

2100443434400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100443434400 is an abundant number, since it is smaller than the sum of its proper divisors (3027264101782).

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

2100443434400 is a wasteful number, since it uses less digits than its factorization.

2100443434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625554313 (or 2625554300 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 2100443434400 its reverse (44343440012), we get a palindrome (2144786874412).

The spelling of 2100443434400 in words is "two trillion, one hundred billion, four hundred forty-three million, four hundred thirty-four thousand, four hundred".