4113114400 has 36 divisors (see below), whose sum is σ = 10041142482. Its totient is φ = 1645245440.

The previous prime is 4113114373. The next prime is 4113114407. The reversal of 4113114400 is 44113114.

It can be written as a sum of positive squares in 3 ways, for example, as 1993801104 + 2119313296 = 44652^2 + 46036^2 .

It is not an unprimeable number, because it can be changed into a prime (4113114407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2569897 + ... + 2571496.

Almost surely, 2^4113114400 is an apocalyptic number.

4113114400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113114400 is an abundant number, since it is smaller than the sum of its proper divisors (5928028082).

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

4113114400 is a wasteful number, since it uses less digits than its factorization.

4113114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141413 (or 5141400 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 4113114400 is about 64133.5668741417. The cubic root of 4113114400 is about 1602.2253409760.

Adding to 4113114400 its reverse (44113114), we get a palindrome (4157227514).

The spelling of 4113114400 in words is "four billion, one hundred thirteen million, one hundred fourteen thousand, four hundred".