4432125461 has 24 divisors (see below), whose sum is σ = 4776659160. Its totient is φ = 4109529600.

The previous prime is 4432125457. The next prime is 4432125463. The reversal of 4432125461 is 1645212344.

It can be written as a sum of positive squares in 4 ways, for example, as 924524836 + 3507600625 = 30406^2 + 59225^2 .

It is not a de Polignac number, because 4432125461 - 2² = 4432125457 is a prime.

It is a super-2 number, since 2×4432125461² = 39287472204088925042, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4432125463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3925145 + ... + 3926273.

It is an arithmetic number, because the mean of its divisors is an integer number (199027465).

Almost surely, 2^4432125461 is an apocalyptic number.

4432125461 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4432125461 is a deficient number, since it is larger than the sum of its proper divisors (344533699).

4432125461 is a wasteful number, since it uses less digits than its factorization.

4432125461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1374 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 4432125461 is about 66574.2101793179. The cubic root of 4432125461 is about 1642.6209159393.

The spelling of 4432125461 in words is "four billion, four hundred thirty-two million, one hundred twenty-five thousand, four hundred sixty-one".