4133114320 has 40 divisors (see below), whose sum is σ = 9697671720. Its totient is φ = 1638074880.

The previous prime is 4133114299. The next prime is 4133114351. The reversal of 4133114320 is 234113314.

4133114320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 684136336 + 3448977984 = 26156^2 + 58728^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4133114291 and 4133114300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228271 + ... + 245710.

It is an arithmetic number, because the mean of its divisors is an integer number (242441793).

Almost surely, 2^4133114320 is an apocalyptic number.

4133114320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4133114320 is an abundant number, since it is smaller than the sum of its proper divisors (5564557400).

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

4133114320 is a wasteful number, since it uses less digits than its factorization.

4133114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474103 (or 474097 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 4133114320 is about 64289.3017538688. The cubic root of 4133114320 is about 1604.8180705593.

Adding to 4133114320 its reverse (234113314), we get a palindrome (4367227634).

The spelling of 4133114320 in words is "four billion, one hundred thirty-three million, one hundred fourteen thousand, three hundred twenty".