4117936732900 has 81 divisors (see below), whose sum is σ = 8978708253627. Its totient is φ = 1639325476800.

The previous prime is 4117936732879. The next prime is 4117936732901. The reversal of 4117936732900 is 92376397114.

The square root of 4117936732900 is 2029270.

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 121200067044 + 3996736665856 = 348138^2 + 1999184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4117936732901) 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, 6229858570 + ... + 6229859230.

Almost surely, 2^{4117936732900} is an apocalyptic number.

4117936732900 is the 2029270-th square number.

It is an amenable number.

4117936732900 is an abundant number, since it is smaller than the sum of its proper divisors (4860771520727).

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

4117936732900 is an frugal number, since it uses more digits than its factorization.

4117936732900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 52.

The spelling of 4117936732900 in words is "four trillion, one hundred seventeen billion, nine hundred thirty-six million, seven hundred thirty-two thousand, nine hundred".