4431000130400 has 72 divisors (see below), whose sum is σ = 10994509993824. Its totient is φ = 1743344294400.

The previous prime is 4431000130373. The next prime is 4431000130429. The reversal of 4431000130400 is 40310001344.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45350792 + ... + 45448391.

It is an arithmetic number, because the mean of its divisors is an integer number (152701527692).

Almost surely, 2^{4431000130400} is an apocalyptic number.

4431000130400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4431000130400 is an abundant number, since it is smaller than the sum of its proper divisors (6563509863424).

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

4431000130400 is a wasteful number, since it uses less digits than its factorization.

4431000130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90799264 (or 90799251 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 4431000130400 its reverse (40310001344), we get a palindrome (4471310131744).

The spelling of 4431000130400 in words is "four trillion, four hundred thirty-one billion, one hundred thirty thousand, four hundred".