4112252800 has 192 divisors, whose sum is σ = 10791273600. Its totient is φ = 1545082880.

The previous prime is 4112252797. The next prime is 4112252819. The reversal of 4112252800 is 82522114.

It is a super-2 number, since 2×4112252800² = 33821246182215680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 4341927 + ... + 4342873.

It is an arithmetic number, because the mean of its divisors is an integer number (56204550).

Almost surely, 2^4112252800 is an apocalyptic number.

4112252800 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 4112252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395636800).

4112252800 is an abundant number, since it is smaller than the sum of its proper divisors (6679020800).

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

4112252800 is a wasteful number, since it uses less digits than its factorization.

4112252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 4112252800 is about 64126.8492910731. The cubic root of 4112252800 is about 1602.1134570828.

Adding to 4112252800 its reverse (82522114), we get a palindrome (4194774914).

The spelling of 4112252800 in words is "four billion, one hundred twelve million, two hundred fifty-two thousand, eight hundred".