4114414000 has 80 divisors (see below), whose sum is σ = 9982548576. Its totient is φ = 1640160000.

The previous prime is 4114413991. The next prime is 4114414037. The reversal of 4114414000 is 4144114.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610650 + ... + 617350.

Almost surely, 2^4114414000 is an apocalyptic number.

4114414000 is a gapful number since it is divisible by the number (40) 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 4114414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991274288).

4114414000 is an abundant number, since it is smaller than the sum of its proper divisors (5868134576).

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

4114414000 is a wasteful number, since it uses less digits than its factorization.

4114414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031 (or 7015 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4114414000 is about 64143.6980536670. The cubic root of 4114414000 is about 1602.3940722247.

Adding to 4114414000 its reverse (4144114), we get a palindrome (4118558114).

The spelling of 4114414000 in words is "four billion, one hundred fourteen million, four hundred fourteen thousand".