10200444441400 has 48 divisors (see below), whose sum is σ = 23731918839000. Its totient is φ = 4077444785280.

The previous prime is 10200444441391. The next prime is 10200444441401. The reversal of 10200444441400 is 414444400201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200444441401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16781850 + ... + 17379049.

Almost surely, 2^{10200444441400} is an apocalyptic number.

10200444441400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200444441400 is an abundant number, since it is smaller than the sum of its proper divisors (13531474397600).

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

10200444441400 is a wasteful number, since it uses less digits than its factorization.

10200444441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34162408 (or 34162399 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 10200444441400 its reverse (414444400201), we get a palindrome (10614888841601).

The spelling of 10200444441400 in words is "ten trillion, two hundred billion, four hundred forty-four million, four hundred forty-one thousand, four hundred".