4125042400 has 72 divisors (see below), whose sum is σ = 10159599744. Its totient is φ = 1635379200.

The previous prime is 4125042377. The next prime is 4125042413. The reversal of 4125042400 is 42405214.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67585 + ... + 113215.

It is an arithmetic number, because the mean of its divisors is an integer number (141105552).

Almost surely, 2^4125042400 is an apocalyptic number.

4125042400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5079799872).

4125042400 is an abundant number, since it is smaller than the sum of its proper divisors (6034557344).

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

4125042400 is a wasteful number, since it uses less digits than its factorization.

4125042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45764 (or 45751 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 4125042400 is about 64226.4929760298. The cubic root of 4125042400 is about 1603.7726599066.

Adding to 4125042400 its reverse (42405214), we get a palindrome (4167447614).

The spelling of 4125042400 in words is "four billion, one hundred twenty-five million, forty-two thousand, four hundred".