4125236800 has 42 divisors (see below), whose sum is σ = 10150664738. Its totient is φ = 1650094080.

The previous prime is 4125236749. The next prime is 4125236809. The reversal of 4125236800 is 86325214.

It can be written as a sum of positive squares in 3 ways, for example, as 586414656 + 3538822144 = 24216^2 + 59488^2 .

It is not an unprimeable number, because it can be changed into a prime (4125236809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1287537 + ... + 1290736.

Almost surely, 2^4125236800 is an apocalyptic number.

4125236800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4125236800 is an abundant number, since it is smaller than the sum of its proper divisors (6025427938).

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

4125236800 is a wasteful number, since it uses less digits than its factorization.

4125236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578295 (or 2578280 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 4125236800 is about 64228.0063523694. The cubic root of 4125236800 is about 1603.7978530624.

The spelling of 4125236800 in words is "four billion, one hundred twenty-five million, two hundred thirty-six thousand, eight hundred".