10042400431 has 16 divisors (see below), whose sum is σ = 11864578048. Its totient is φ = 8317922400.

The previous prime is 10042400411. The next prime is 10042400437. The reversal of 10042400431 is 13400424001.

It is a cyclic number.

It is not a de Polignac number, because 10042400431 - 2²¹ = 10040303279 is a prime.

It is a super-2 number, since 2×10042400431² (a number of 21 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 = 10042400399 and 10042400408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042400437) 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, 116461 + ... + 183433.

It is an arithmetic number, because the mean of its divisors is an integer number (741536128).

Almost surely, 2^10042400431 is an apocalyptic number.

10042400431 is a deficient number, since it is larger than the sum of its proper divisors (1822177617).

10042400431 is an equidigital number, since it uses as much as digits as its factorization.

10042400431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67702.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10042400431 its reverse (13400424001), we get a palindrome (23442824432).

The spelling of 10042400431 in words is "ten billion, forty-two million, four hundred thousand, four hundred thirty-one".