10240440605344 has 48 divisors (see below), whose sum is σ = 21252678562080. Its totient is φ = 4843714947840.

The previous prime is 10240440605273. The next prime is 10240440605359. The reversal of 10240440605344 is 44350604404201.

It is a super-2 number, since 2×10240440605344² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11767159 + ... + 12607414.

It is an arithmetic number, because the mean of its divisors is an integer number (442764136710).

Almost surely, 2^{10240440605344} is an apocalyptic number.

It is an amenable number.

10240440605344 is an abundant number, since it is smaller than the sum of its proper divisors (11012237956736).

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

10240440605344 is a wasteful number, since it uses less digits than its factorization.

10240440605344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24375293 (or 24375285 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

The spelling of 10240440605344 in words is "ten trillion, two hundred forty billion, four hundred forty million, six hundred five thousand, three hundred forty-four".