4121413416 has 48 divisors (see below), whose sum is σ = 11547069300. Its totient is φ = 1326431232.

The previous prime is 4121413397. The next prime is 4121413459. The reversal of 4121413416 is 6143141214.

It can be written as a sum of positive squares in 2 ways, for example, as 3825917316 + 295496100 = 61854^2 + 17190^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 4121413416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 984841 + ... + 989016.

Almost surely, 2^4121413416 is an apocalyptic number.

It is an amenable number.

4121413416 is an abundant number, since it is smaller than the sum of its proper divisors (7425655884).

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

4121413416 is a wasteful number, since it uses less digits than its factorization.

4121413416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973898 (or 1973891 counting only the distinct ones).

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

The square root of 4121413416 is about 64198.2353028493. The cubic root of 4121413416 is about 1603.3022184487.

The spelling of 4121413416 in words is "four billion, one hundred twenty-one million, four hundred thirteen thousand, four hundred sixteen".