10042400204431 has 16 divisors (see below), whose sum is σ = 11506435387200. Its totient is φ = 8585719603200.

The previous prime is 10042400204429. The next prime is 10042400204461. The reversal of 10042400204431 is 13440200424001.

It is a cyclic number.

It is not a de Polignac number, because 10042400204431 - 2¹ = 10042400204429 is a prime.

It is a super-2 number, since 2×10042400204431² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10042400204396 and 10042400204405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042400204461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43812435 + ... + 44041051.

It is an arithmetic number, because the mean of its divisors is an integer number (719152211700).

Almost surely, 2^{10042400204431} is an apocalyptic number.

10042400204431 is a deficient number, since it is larger than the sum of its proper divisors (1464035182769).

10042400204431 is a wasteful number, since it uses less digits than its factorization.

10042400204431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244674.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10042400204431 its reverse (13440200424001), we get a palindrome (23482600628432).

The spelling of 10042400204431 in words is "ten trillion, forty-two billion, four hundred million, two hundred four thousand, four hundred thirty-one".