4101564420 has 36 divisors (see below), whose sum is σ = 12441412620. Its totient is φ = 1093750464.

The previous prime is 4101564403. The next prime is 4101564427. The reversal of 4101564420 is 244651014.

4101564420 is a `hidden beast` number, since 4 + 1 + 0 + 15 + 644 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1336487364 + 2765077056 = 36558^2 + 52584^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (4101564427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11393055 + ... + 11393414.

It is an arithmetic number, because the mean of its divisors is an integer number (345594795).

Almost surely, 2^4101564420 is an apocalyptic number.

It is an amenable number.

4101564420 is an abundant number, since it is smaller than the sum of its proper divisors (8339848200).

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

4101564420 is a wasteful number, since it uses less digits than its factorization.

4101564420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22786484 (or 22786479 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4101564420 is about 64043.4572770709. The cubic root of 4101564420 is about 1600.7242060082.

The spelling of 4101564420 in words is "four billion, one hundred one million, five hundred sixty-four thousand, four hundred twenty".