4114257288 has 64 divisors (see below), whose sum is σ = 10491690240. Its totient is φ = 1344006144.

The previous prime is 4114257271. The next prime is 4114257373. The reversal of 4114257288 is 8827524114.

4114257288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4114257288² = 33854226063722229888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1808920 + ... + 1811192.

It is an arithmetic number, because the mean of its divisors is an integer number (163932660).

Almost surely, 2^4114257288 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 4114257288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245845120).

4114257288 is an abundant number, since it is smaller than the sum of its proper divisors (6377432952).

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

4114257288 is a wasteful number, since it uses less digits than its factorization.

4114257288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3754 counting only the distinct ones).

The product of its digits is 143360, while the sum is 42.

The square root of 4114257288 is about 64142.4764723034. The cubic root of 4114257288 is about 1602.3737276857.

The spelling of 4114257288 in words is "four billion, one hundred fourteen million, two hundred fifty-seven thousand, two hundred eighty-eight".