10442093400040 has 32 divisors (see below), whose sum is σ = 24731273844000. Its totient is φ = 3957003814464.

The previous prime is 10442093400023. The next prime is 10442093400049. The reversal of 10442093400040 is 4000439024401.

It is a junction number, because it is equal to n+sod(n) for n = 10442093399975 and 10442093400011.

It is not an unprimeable number, because it can be changed into a prime (10442093400049) 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, 6869797530 + ... + 6869799049.

It is an arithmetic number, because the mean of its divisors is an integer number (772852307625).

Almost surely, 2^{10442093400040} is an apocalyptic number.

10442093400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10442093400040 is an abundant number, since it is smaller than the sum of its proper divisors (14289180443960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10442093400040 is a wasteful number, since it uses less digits than its factorization.

10442093400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13739596609 (or 13739596605 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 10442093400040 in words is "ten trillion, four hundred forty-two billion, ninety-three million, four hundred thousand, forty".