4000505112 has 96 divisors (see below), whose sum is σ = 11598612480. Its totient is φ = 1290466080.

The previous prime is 4000505101. The next prime is 4000505147. The reversal of 4000505112 is 2115050004.

It is a super-2 number, since 2×4000505112² = 32008082302276265088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27073 + ... + 93455.

It is an arithmetic number, because the mean of its divisors is an integer number (120818880).

Almost surely, 2^4000505112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000505112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5799306240).

4000505112 is an abundant number, since it is smaller than the sum of its proper divisors (7598107368).

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

4000505112 is a wasteful number, since it uses less digits than its factorization.

4000505112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66435 (or 66419 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 4000505112 is about 63249.5463382940. The cubic root of 4000505112 is about 1587.4678670992.

Adding to 4000505112 its reverse (2115050004), we get a palindrome (6115555116).

The spelling of 4000505112 in words is "four billion, five hundred five thousand, one hundred twelve".