999642032041 has 27 divisors (see below), whose sum is σ = 1074194556183. Its totient is φ = 930073487040.

The previous prime is 999642032033. The next prime is 999642032063. The reversal of 999642032041 is 140230246999.

It is a happy number.

The square root of 999642032041 is 999821.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 778268018025 + 221374014016 = 882195^2 + 470504^2 .

It is not a de Polignac number, because 999642032041 - 2³ = 999642032033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (999642032141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1750686286 + ... + 1750686856.

Almost surely, 2^999642032041 is an apocalyptic number.

999642032041 is the 999821-st square number.

999642032041 is the 499911-st centered octagonal number.

It is an amenable number.

999642032041 is a deficient number, since it is larger than the sum of its proper divisors (74552524142).

999642032041 is an frugal number, since it uses more digits than its factorization.

999642032041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

Multiplying 999642032041 by its sum of digits (49), we get a square (48982459570009 = 6998747²).

The spelling of 999642032041 in words is "nine hundred ninety-nine billion, six hundred forty-two million, thirty-two thousand, forty-one".