4114107312 has 80 divisors (see below), whose sum is σ = 12164435712. Its totient is φ = 1173715200.

The previous prime is 4114107289. The next prime is 4114107317. The reversal of 4114107312 is 2137014114.

4114107312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4114107317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226803 + ... + 244269.

Almost surely, 2^4114107312 is an apocalyptic number.

4114107312 is a gapful number since it is divisible by the number (42) 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 4114107312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082217856).

4114107312 is an abundant number, since it is smaller than the sum of its proper divisors (8050328400).

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

4114107312 is a wasteful number, since it uses less digits than its factorization.

4114107312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18186 (or 18180 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 4114107312 is about 64141.3073767599. The cubic root of 4114107312 is about 1602.3542571385.

The spelling of 4114107312 in words is "four billion, one hundred fourteen million, one hundred seven thousand, three hundred twelve".