10005567440424 has 32 divisors (see below), whose sum is σ = 25073617716000. Its totient is φ = 3327229264832.

The previous prime is 10005567440413. The next prime is 10005567440441. The reversal of 10005567440424 is 42404476550001.

It is a super-2 number, since 2×10005567440424² (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, 497482359 + ... + 497502470.

It is an arithmetic number, because the mean of its divisors is an integer number (783550553625).

Almost surely, 2^{10005567440424} is an apocalyptic number.

It is an amenable number.

10005567440424 is an abundant number, since it is smaller than the sum of its proper divisors (15068050275576).

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

10005567440424 is a wasteful number, since it uses less digits than its factorization.

10005567440424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994985257 (or 994985253 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 10005567440424 in words is "ten trillion, five billion, five hundred sixty-seven million, four hundred forty thousand, four hundred twenty-four".