4182416901 has 36 divisors (see below), whose sum is σ = 6549624900. Its totient is φ = 2570690304.

The previous prime is 4182416893. The next prime is 4182416921. The reversal of 4182416901 is 1096142814.

4182416901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 238702500 + 3943714401 = 15450^2 + 62799^2 .

It is not a de Polignac number, because 4182416901 - 2³ = 4182416893 is a prime.

It is a super-2 number, since 2×4182416901² = 34985222267540887602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4182416921) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2446435 + ... + 2448143.

It is an arithmetic number, because the mean of its divisors is an integer number (181934025).

Almost surely, 2^4182416901 is an apocalyptic number.

It is an amenable number.

4182416901 is a deficient number, since it is larger than the sum of its proper divisors (2367207999).

4182416901 is a wasteful number, since it uses less digits than its factorization.

4182416901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4182416901 is about 64671.6081522642. The cubic root of 4182416901 is about 1611.1739828072.

The spelling of 4182416901 in words is "four billion, one hundred eighty-two million, four hundred sixteen thousand, nine hundred one".