10008458073441 has 24 divisors (see below), whose sum is σ = 14479329885696. Its totient is φ = 6661850605440.

The previous prime is 10008458073343. The next prime is 10008458073443. The reversal of 10008458073441 is 14437085480001.

10008458073441 is a `hidden beast` number, since 10 + 0 + 0 + 84 + 58 + 0 + 73 + 441 = 666.

It is not a de Polignac number, because 10008458073441 - 2³⁹ = 9458702259553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10008458073443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15817801 + ... + 16438361.

It is an arithmetic number, because the mean of its divisors is an integer number (603305411904).

Almost surely, 2^{10008458073441} is an apocalyptic number.

It is an amenable number.

10008458073441 is a deficient number, since it is larger than the sum of its proper divisors (4470871812255).

10008458073441 is a wasteful number, since it uses less digits than its factorization.

10008458073441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623373 (or 623370 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 10008458073441 in words is "ten trillion, eight billion, four hundred fifty-eight million, seventy-three thousand, four hundred forty-one".