4114400112 has 120 divisors (see below), whose sum is σ = 12318336576. Its totient is φ = 1277411328.

The previous prime is 4114400107. The next prime is 4114400117. The reversal of 4114400112 is 2110044114.

It is an interprime number because it is at equal distance from previous prime (4114400107) and next prime (4114400117).

It is a super-2 number, since 2×4114400112² = 33856576563251225088, 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 not an unprimeable number, because it can be changed into a prime (4114400117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228793 + ... + 246119.

Almost surely, 2^4114400112 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 4114400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159168288).

4114400112 is an abundant number, since it is smaller than the sum of its proper divisors (8203936464).

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

4114400112 is a wasteful number, since it uses less digits than its factorization.

4114400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17455 (or 17446 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4114400112 is about 64143.5897966430. The cubic root of 4114400112 is about 1602.3922692888.

Adding to 4114400112 its reverse (2110044114), we get a palindrome (6224444226).

The spelling of 4114400112 in words is "four billion, one hundred fourteen million, four hundred thousand, one hundred twelve".