39414160900 has 27 divisors (see below), whose sum is σ = 85533037471. Its totient is φ = 15764870240.

The previous prime is 39414160859. The next prime is 39414160909. The reversal of 39414160900 is 906141493.

The square root of 39414160900 is 198530.

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 9487928836 + 29926232064 = 97406^2 + 172992^2 .

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 39414160900.

It is not an unprimeable number, because it can be changed into a prime (39414160909) 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, 1975374 + ... + 1995226.

Almost surely, 2^39414160900 is an apocalyptic number.

39414160900 is the 198530-th square number.

It is an amenable number.

39414160900 is an abundant number, since it is smaller than the sum of its proper divisors (46118876571).

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

39414160900 is an frugal number, since it uses more digits than its factorization.

39414160900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39720 (or 19860 counting only the distinct ones).

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

The spelling of 39414160900 in words is "thirty-nine billion, four hundred fourteen million, one hundred sixty thousand, nine hundred".