10142400026341 has 24 divisors (see below), whose sum is σ = 11263136825304. Its totient is φ = 9125424000000.

The previous prime is 10142400026329. The next prime is 10142400026383. The reversal of 10142400026341 is 14362000424101.

It can be written as a sum of positive squares in 4 ways, for example, as 1665299916225 + 8477100110116 = 1290465^2 + 2911546^2 .

It is not a de Polignac number, because 10142400026341 - 2¹⁵ = 10142399993573 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142400006341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30644541 + ... + 30973741.

It is an arithmetic number, because the mean of its divisors is an integer number (469297367721).

Almost surely, 2^{10142400026341} is an apocalyptic number.

10142400026341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10142400026341 is a deficient number, since it is larger than the sum of its proper divisors (1120736798963).

10142400026341 is a wasteful number, since it uses less digits than its factorization.

10142400026341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331845 (or 331834 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 10142400026341 in words is "ten trillion, one hundred forty-two billion, four hundred million, twenty-six thousand, three hundred forty-one".