39916044100 has 27 divisors (see below), whose sum is σ = 86622151357. Its totient is φ = 15965618480.

The previous prime is 39916044097. The next prime is 39916044109. The reversal of 39916044100 is 144061993.

The square root of 39916044100 is 199790.

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., 14369775876 + 25546268224 = 119874^2 + 159832^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 39916044100.

It is not an unprimeable number, because it can be changed into a prime (39916044109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1987911 + ... + 2007889.

Almost surely, 2^39916044100 is an apocalyptic number.

39916044100 is the 199790-th square number.

It is an amenable number.

39916044100 is an abundant number, since it is smaller than the sum of its proper divisors (46706107257).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

39916044100 is an frugal number, since it uses more digits than its factorization.

39916044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39972 (or 19986 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 39916044100 in words is "thirty-nine billion, nine hundred sixteen million, forty-four thousand, one hundred".