4113414000 has 120 divisors (see below), whose sum is σ = 14366846832. Its totient is φ = 1096905600.

The previous prime is 4113413977. The next prime is 4113414029. The reversal of 4113414000 is 4143114.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 96262 + ... + 132261.

Almost surely, 2^4113414000 is an apocalyptic number.

4113414000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113414000 is an abundant number, since it is smaller than the sum of its proper divisors (10253432832).

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

4113414000 is a wasteful number, since it uses less digits than its factorization.

4113414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228552 (or 228533 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4113414000 is about 64135.9025819392. The cubic root of 4113414000 is about 1602.2642421598.

Adding to 4113414000 its reverse (4143114), we get a palindrome (4117557114).

The spelling of 4113414000 in words is "four billion, one hundred thirteen million, four hundred fourteen thousand".