4112225280 has 352 divisors, whose sum is σ = 14785562880. Its totient is φ = 1083801600.

The previous prime is 4112225261. The next prime is 4112225287. The reversal of 4112225280 is 825222114.

4112225280 is a `hidden beast` number, since 4 + 112 + 22 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112225287) 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 31 ways as a sum of consecutive naturals, for example, 20874142 + ... + 20874338.

It is an arithmetic number, because the mean of its divisors is an integer number (42004440).

Almost surely, 2^4112225280 is an apocalyptic number.

4112225280 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 4112225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392781440).

4112225280 is an abundant number, since it is smaller than the sum of its proper divisors (10673337600).

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

4112225280 is a wasteful number, since it uses less digits than its factorization.

4112225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4112225280 is about 64126.6347160055. The cubic root of 4112225280 is about 1602.1098831893.

Adding to 4112225280 its reverse (825222114), we get a palindrome (4937447394).

The spelling of 4112225280 in words is "four billion, one hundred twelve million, two hundred twenty-five thousand, two hundred eighty".