10402400340431 has 8 divisors (see below), whose sum is σ = 11465063544144. Its totient is φ = 9359235544320.

The previous prime is 10402400340407. The next prime is 10402400340523. The reversal of 10402400340431 is 13404300420401.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10402400340431 - 2¹⁰ = 10402400339407 is a prime.

It is a super-2 number, since 2×10402400340431² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10402400340431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402400340931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4874600780 + ... + 4874602913.

It is an arithmetic number, because the mean of its divisors is an integer number (1433132943018).

Almost surely, 2^{10402400340431} is an apocalyptic number.

10402400340431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10402400340431 is a deficient number, since it is larger than the sum of its proper divisors (1062663203713).

10402400340431 is an equidigital number, since it uses as much as digits as its factorization.

10402400340431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9749203801.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10402400340431 its reverse (13404300420401), we get a palindrome (23806700760832).

The spelling of 10402400340431 in words is "ten trillion, four hundred two billion, four hundred million, three hundred forty thousand, four hundred thirty-one".