10000431430401 has 32 divisors (see below), whose sum is σ = 14069968998400. Its totient is φ = 6309870114240.

The previous prime is 10000431430369. The next prime is 10000431430417. The reversal of 10000431430401 is 10403413400001.

It is not a de Polignac number, because 10000431430401 - 2⁵ = 10000431430369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000431430201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4907086 + ... + 6639303.

It is an arithmetic number, because the mean of its divisors is an integer number (439686531200).

Almost surely, 2^{10000431430401} is an apocalyptic number.

It is an amenable number.

10000431430401 is a deficient number, since it is larger than the sum of its proper divisors (4069537567999).

10000431430401 is a wasteful number, since it uses less digits than its factorization.

10000431430401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11546629.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10000431430401 its reverse (10403413400001), we get a palindrome (20403844830402).

The spelling of 10000431430401 in words is "ten trillion, four hundred thirty-one million, four hundred thirty thousand, four hundred one".