39991600441 has 9 divisors (see below), whose sum is σ = 43307329359. Its totient is φ = 36912923736.

The previous prime is 39991600421. The next prime is 39991600459. The reversal of 39991600441 is 14400619993.

The square root of 39991600441 is 199979.

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., 5915917225 + 34075683216 = 76915^2 + 184596^2 .

It is a de Polignac number, because none of the positive numbers 2^k-39991600441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 39991600391 and 39991600400.

It is not an unprimeable number, because it can be changed into a prime (39991600421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2592036 + ... + 2607418.

Almost surely, 2^39991600441 is an apocalyptic number.

39991600441 is the 199979-th square number.

39991600441 is the 99990-th centered octagonal number.

It is an amenable number.

39991600441 is a deficient number, since it is larger than the sum of its proper divisors (3315728918).

39991600441 is an frugal number, since it uses more digits than its factorization.

39991600441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30792 (or 15396 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The spelling of 39991600441 in words is "thirty-nine billion, nine hundred ninety-one million, six hundred thousand, four hundred forty-one".