10204443144 has 48 divisors (see below), whose sum is σ = 31585182720. Its totient is φ = 2915555040.

The previous prime is 10204443131. The next prime is 10204443181. The reversal of 10204443144 is 44134440201.

10204443144 is a `hidden beast` number, since 1 + 0 + 204 + 443 + 14 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10122952 + ... + 10123959.

It is an arithmetic number, because the mean of its divisors is an integer number (658024640).

Almost surely, 2^10204443144 is an apocalyptic number.

10204443144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10204443144 is an abundant number, since it is smaller than the sum of its proper divisors (21380739576).

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

10204443144 is a wasteful number, since it uses less digits than its factorization.

10204443144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20246930 (or 20246923 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10204443144 its reverse (44134440201), we get a palindrome (54338883345).

The spelling of 10204443144 in words is "ten billion, two hundred four million, four hundred forty-three thousand, one hundred forty-four".