10402012114431 has 24 divisors (see below), whose sum is σ = 16134060258864. Its totient is φ = 5943886381440.

The previous prime is 10402012114423. The next prime is 10402012114433. The reversal of 10402012114431 is 13441121020401.

It is a happy number.

It is not a de Polignac number, because 10402012114431 - 2³ = 10402012114423 is a prime.

It is a super-2 number, since 2×10402012114431² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402012114433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6824611 + ... + 8208491.

It is an arithmetic number, because the mean of its divisors is an integer number (672252510786).

Almost surely, 2^{10402012114431} is an apocalyptic number.

10402012114431 is a deficient number, since it is larger than the sum of its proper divisors (5732048144433).

10402012114431 is a wasteful number, since it uses less digits than its factorization.

10402012114431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435031 (or 1435024 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10402012114431 its reverse (13441121020401), we get a palindrome (23843133134832).

The spelling of 10402012114431 in words is "ten trillion, four hundred two billion, twelve million, one hundred fourteen thousand, four hundred thirty-one".