4412295200 has 72 divisors (see below), whose sum is σ = 10919215188. Its totient is φ = 1740718080.

The previous prime is 4412295157. The next prime is 4412295203. The reversal of 4412295200 is 25922144.

It can be written as a sum of positive squares in 6 ways, for example, as 2933738896 + 1478556304 = 54164^2 + 38452^2 .

It is not an unprimeable number, because it can be changed into a prime (4412295203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20624 + ... + 96176.

Almost surely, 2^4412295200 is an apocalyptic number.

4412295200 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 4412295200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459607594).

4412295200 is an abundant number, since it is smaller than the sum of its proper divisors (6506919988).

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

4412295200 is a wasteful number, since it uses less digits than its factorization.

4412295200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75646 (or 75633 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 4412295200 is about 66425.1097101089. The cubic root of 4412295200 is about 1640.1674427490.

The spelling of 4412295200 in words is "four billion, four hundred twelve million, two hundred ninety-five thousand, two hundred".