4116505600 has 99 divisors (see below), whose sum is σ = 10229458771. Its totient is φ = 1642496000.

The previous prime is 4116505513. The next prime is 4116505607. The reversal of 4116505600 is 65056114.

The square root of 4116505600 is 64160.

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 1101177856 + 3015327744 = 33184^2 + 54912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4116505607) 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, 10265400 + ... + 10265800.

Almost surely, 2^4116505600 is an apocalyptic number.

4116505600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4116505600 is the 64160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4116505600

4116505600 is an abundant number, since it is smaller than the sum of its proper divisors (6112953171).

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

4116505600 is an frugal number, since it uses more digits than its factorization.

4116505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The cubic root of 4116505600 is about 1602.6655567883.

Multiplying 4116505600 by its product of nonzero digits (3600), we get a square (14819420160000 = 3849600²).

The spelling of 4116505600 in words is "four billion, one hundred sixteen million, five hundred five thousand, six hundred".