4001112000 has 336 divisors, whose sum is σ = 14563246464. Its totient is φ = 1048320000.

The previous prime is 4001111981. The next prime is 4001112007. The reversal of 4001112000 is 2111004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001112007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4391545 + ... + 4392455.

Almost surely, 2^4001112000 is an apocalyptic number.

4001112000 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 4001112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7281623232).

4001112000 is an abundant number, since it is smaller than the sum of its proper divisors (10562134464).

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

4001112000 is a wasteful number, since it uses less digits than its factorization.

4001112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 4001112000 is about 63254.3437243641. The cubic root of 4001112000 is about 1587.5481375033.

Adding to 4001112000 its reverse (2111004), we get a palindrome (4003223004).

The spelling of 4001112000 in words is "four billion, one million, one hundred twelve thousand".