1004729692641 has 16 divisors (see below), whose sum is σ = 1440150067200. Its totient is φ = 621064713168.

The previous prime is 1004729692597. The next prime is 1004729692643. The reversal of 1004729692641 is 1462969274001.

It is not a de Polignac number, because 1004729692641 - 2¹⁰ = 1004729691617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004729692643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187516861 + ... + 187522218.

It is an arithmetic number, because the mean of its divisors is an integer number (90009379200).

Almost surely, 2^{1004729692641} is an apocalyptic number.

It is an amenable number.

1004729692641 is a deficient number, since it is larger than the sum of its proper divisors (435420374559).

1004729692641 is a wasteful number, since it uses less digits than its factorization.

1004729692641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375039148.

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 1004729692641 in words is "one trillion, four billion, seven hundred twenty-nine million, six hundred ninety-two thousand, six hundred forty-one".