4043431144400 has 30 divisors (see below), whose sum is σ = 9714343325382. Its totient is φ = 1617372457600.

The previous prime is 4043431144393. The next prime is 4043431144409. The reversal of 4043431144400 is 44411343404.

It can be written as a sum of positive squares in 3 ways, for example, as 56764015504 + 3986667128896 = 238252^2 + 1996664^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4043431144409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5054288531 + ... + 5054289330.

Almost surely, 2^{4043431144400} is an apocalyptic number.

4043431144400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4043431144400 is an abundant number, since it is smaller than the sum of its proper divisors (5670912180982).

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

4043431144400 is a wasteful number, since it uses less digits than its factorization.

4043431144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10108577879 (or 10108577868 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4043431144400 its reverse (44411343404), we get a palindrome (4087842487804).

The spelling of 4043431144400 in words is "four trillion, forty-three billion, four hundred thirty-one million, one hundred forty-four thousand, four hundred".