4112201088 has 256 divisors, whose sum is σ = 12666931200. Its totient is φ = 1311897600.

The previous prime is 4112201087. The next prime is 4112201089. The reversal of 4112201088 is 8801022114.

It is an interprime number because it is at equal distance from previous prime (4112201087) and next prime (4112201089).

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 (4112201081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14034670 + ... + 14034962.

It is an arithmetic number, because the mean of its divisors is an integer number (49480200).

Almost surely, 2^4112201088 is an apocalyptic number.

4112201088 is a gapful number since it is divisible by the number (48) 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 4112201088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333465600).

4112201088 is an abundant number, since it is smaller than the sum of its proper divisors (8554730112).

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

4112201088 is a wasteful number, since it uses less digits than its factorization.

4112201088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 4112201088 is about 64126.4460889577. The cubic root of 4112201088 is about 1602.1067414744.

The spelling of 4112201088 in words is "four billion, one hundred twelve million, two hundred one thousand, eighty-eight".