4113416412 has 192 divisors, whose sum is σ = 12668436480. Its totient is φ = 1129464000.

The previous prime is 4113416387. The next prime is 4113416413. The reversal of 4113416412 is 2146143114.

4113416412 is a `hidden beast` number, since 4 + 1 + 13 + 4 + 1 + 641 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113416413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3913287 + ... + 3914337.

It is an arithmetic number, because the mean of its divisors is an integer number (65981440).

Almost surely, 2^4113416412 is an apocalyptic number.

4113416412 is a gapful number since it is divisible by the number (42) 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 4113416412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334218240).

4113416412 is an abundant number, since it is smaller than the sum of its proper divisors (8555020068).

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

4113416412 is a wasteful number, since it uses less digits than its factorization.

4113416412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1261 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 4113416412 is about 64135.9213857570. The cubic root of 4113416412 is about 1602.2645553353.

Adding to 4113416412 its reverse (2146143114), we get a palindrome (6259559526).

The spelling of 4113416412 in words is "four billion, one hundred thirteen million, four hundred sixteen thousand, four hundred twelve".