4100413216 has 12 divisors (see below), whose sum is σ = 8072688582. Its totient is φ = 2050206592.

The previous prime is 4100413181. The next prime is 4100413217. The reversal of 4100413216 is 6123140014.

4100413216 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 only one way, i.e., 4019052816 + 81360400 = 63396^2 + 9020^2 .

It is not an unprimeable number, because it can be changed into a prime (4100413217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64068925 + ... + 64068988.

Almost surely, 2^4100413216 is an apocalyptic number.

It is an amenable number.

4100413216 is a deficient number, since it is larger than the sum of its proper divisors (3972275366).

4100413216 is a wasteful number, since it uses less digits than its factorization.

4100413216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128137923 (or 128137915 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4100413216 is about 64034.4689678926. The cubic root of 4100413216 is about 1600.5744312433.

It can be divided in two parts, 4100 and 413216, that added together give a square (417316 = 646²).

The spelling of 4100413216 in words is "four billion, one hundred million, four hundred thirteen thousand, two hundred sixteen".