4011112000 has 224 divisors, whose sum is σ = 11636142336. Its totient is φ = 1340928000.

The previous prime is 4011111997. The next prime is 4011112031. The reversal of 4011112000 is 2111104.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2295127 + ... + 2296873.

It is an arithmetic number, because the mean of its divisors is an integer number (51947064).

Almost surely, 2^4011112000 is an apocalyptic number.

4011112000 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 4011112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5818071168).

4011112000 is an abundant number, since it is smaller than the sum of its proper divisors (7625030336).

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

4011112000 is a wasteful number, since it uses less digits than its factorization.

4011112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 4011112000 is about 63333.3403508768. The cubic root of 4011112000 is about 1588.8696262809.

Adding to 4011112000 its reverse (2111104), we get a palindrome (4013223104).

The spelling of 4011112000 in words is "four billion, eleven million, one hundred twelve thousand".