10004414121219 has 64 divisors (see below), whose sum is σ = 16338022272000. Its totient is φ = 5315336183808.

The previous prime is 10004414121209. The next prime is 10004414121281. The reversal of 10004414121219 is 91212141440001.

It is not a de Polignac number, because 10004414121219 - 2⁵ = 10004414121187 is a prime.

It is a super-2 number, since 2×10004414121219² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10004414121209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12732232 + ... + 13495130.

It is an arithmetic number, because the mean of its divisors is an integer number (255281598000).

Almost surely, 2^{10004414121219} is an apocalyptic number.

10004414121219 is a deficient number, since it is larger than the sum of its proper divisors (6333608150781).

10004414121219 is a wasteful number, since it uses less digits than its factorization.

10004414121219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763372.

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 10004414121219 in words is "ten trillion, four billion, four hundred fourteen million, one hundred twenty-one thousand, two hundred nineteen".