4125492900 has 81 divisors (see below), whose sum is σ = 12937170883. Its totient is φ = 1099617600.

The previous prime is 4125492871. The next prime is 4125492949. The reversal of 4125492900 is 92945214.

The square root of 4125492900 is 64230.

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

4125492900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 707453604 + 3418039296 = 26598^2 + 58464^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1925830 + ... + 1927970.

Almost surely, 2^4125492900 is an apocalyptic number.

4125492900 is the 64230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125492900

4125492900 is an abundant number, since it is smaller than the sum of its proper divisors (8811677983).

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

4125492900 is a wasteful number, since it uses less digits than its factorization.

4125492900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 4125492900 is about 1603.8310409860.

Multiplying 4125492900 by its sum of digits (36), we get a square (148517744400 = 385380²).

4125492900 divided by its sum of digits (36) gives a square (114597025 = 10705²).

It can be divided in two parts, 4125 and 492900, that added together give a square (497025 = 705²).

The spelling of 4125492900 in words is "four billion, one hundred twenty-five million, four hundred ninety-two thousand, nine hundred".