4125758900 has 72 divisors (see below), whose sum is σ = 9492814296. Its totient is φ = 1551052800.

The previous prime is 4125758899. The next prime is 4125758927. The reversal of 4125758900 is 98575214.

It can be written as a sum of positive squares in 12 ways, for example, as 620408464 + 3505350436 = 24908^2 + 59206^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1734512 + ... + 1736888.

It is an arithmetic number, because the mean of its divisors is an integer number (131844643).

Almost surely, 2^4125758900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125758900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746407148).

4125758900 is an abundant number, since it is smaller than the sum of its proper divisors (5367055396).

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

4125758900 is a wasteful number, since it uses less digits than its factorization.

4125758900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 41.

The square root of 4125758900 is about 64232.0706501044. The cubic root of 4125758900 is about 1603.8655103935.

The spelling of 4125758900 in words is "four billion, one hundred twenty-five million, seven hundred fifty-eight thousand, nine hundred".