4114324000 has 48 divisors (see below), whose sum is σ = 10108903896. Its totient is φ = 1645728000.

The previous prime is 4114323977. The next prime is 4114324009. The reversal of 4114324000 is 4234114.

4114324000 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 1443088144 + 2671235856 = 37988^2 + 51684^2 .

It is not an unprimeable number, because it can be changed into a prime (4114324009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510291 + ... + 518290.

Almost surely, 2^4114324000 is an apocalyptic number.

4114324000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114324000 is an abundant number, since it is smaller than the sum of its proper divisors (5994579896).

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

4114324000 is a wasteful number, since it uses less digits than its factorization.

4114324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028606 (or 1028588 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4114324000 is about 64142.9965000077. The cubic root of 4114324000 is about 1602.3823883803.

Adding to 4114324000 its reverse (4234114), we get a palindrome (4118558114).

The spelling of 4114324000 in words is "four billion, one hundred fourteen million, three hundred twenty-four thousand".