39200040100 has 81 divisors (see below), whose sum is σ = 92171335683. Its totient is φ = 14464357440.

The previous prime is 39200040083. The next prime is 39200040127. The reversal of 39200040100 is 104000293.

The square root of 39200040100 is 197990.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10103868324 + 29096171776 = 100518^2 + 170576^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25737939 + ... + 25739461.

Almost surely, 2^39200040100 is an apocalyptic number.

39200040100 is the 197990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39200040100

39200040100 is an abundant number, since it is smaller than the sum of its proper divisors (52971295583).

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

39200040100 is a wasteful number, since it uses less digits than its factorization.

39200040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 39200040100 its reverse (104000293), we get a palindrome (39304040393).

The spelling of 39200040100 in words is "thirty-nine billion, two hundred million, forty thousand, one hundred".