10004137829391 has 24 divisors (see below), whose sum is σ = 13981113619200. Its totient is φ = 6361861231264.

The previous prime is 10004137829353. The next prime is 10004137829401. The reversal of 10004137829391 is 19392873140001.

It is not a de Polignac number, because 10004137829391 - 2²⁹ = 10003600958479 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10004137829391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004137829341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23677191 + ... + 24096008.

It is an arithmetic number, because the mean of its divisors is an integer number (582546400800).

Almost surely, 2^{10004137829391} is an apocalyptic number.

10004137829391 is a deficient number, since it is larger than the sum of its proper divisors (3976975789809).

10004137829391 is an equidigital number, since it uses as much as digits as its factorization.

10004137829391 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47773343 (or 47773314 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 10004137829391 in words is "ten trillion, four billion, one hundred thirty-seven million, eight hundred twenty-nine thousand, three hundred ninety-one".