10034001044431 has 48 divisors (see below), whose sum is σ = 12902896103328. Its totient is φ = 7729571404800.

The previous prime is 10034001044407. The next prime is 10034001044443. The reversal of 10034001044431 is 13444010043001.

It is not a de Polignac number, because 10034001044431 - 2⁷ = 10034001044303 is a prime.

It is a super-2 number, since 2×10034001044431² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10034001044396 and 10034001044405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034001047431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12432211 + ... + 13214683.

It is an arithmetic number, because the mean of its divisors is an integer number (268810335486).

Almost surely, 2^{10034001044431} is an apocalyptic number.

10034001044431 is a deficient number, since it is larger than the sum of its proper divisors (2868895058897).

10034001044431 is a wasteful number, since it uses less digits than its factorization.

10034001044431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783032 (or 783025 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10034001044431 its reverse (13444010043001), we get a palindrome (23478011087432).

The spelling of 10034001044431 in words is "ten trillion, thirty-four billion, one million, forty-four thousand, four hundred thirty-one".