4123414416 has 160 divisors (see below), whose sum is σ = 12250465920. Its totient is φ = 1183436800.

The previous prime is 4123414391. The next prime is 4123414453. The reversal of 4123414416 is 6144143214.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 808996 + ... + 814076.

It is an arithmetic number, because the mean of its divisors is an integer number (76565412).

Almost surely, 2^4123414416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123414416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6125232960).

4123414416 is an abundant number, since it is smaller than the sum of its proper divisors (8127051504).

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

4123414416 is a wasteful number, since it uses less digits than its factorization.

4123414416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185 (or 5179 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 4123414416 is about 64213.8179522134. The cubic root of 4123414416 is about 1603.5616511843.

The spelling of 4123414416 in words is "four billion, one hundred twenty-three million, four hundred fourteen thousand, four hundred sixteen".