4218090332401 has 9 divisors (see below), whose sum is σ = 4636438173003. Its totient is φ = 3834607036920.

The previous prime is 4218090332371. The next prime is 4218090332419. The reversal of 4218090332401 is 1042330908124.

The square root of 4218090332401 is 2053799.

It is a perfect power (a square), and thus also a powerful number.

4218090332401 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., 3686211842401 + 531878490000 = 1919951^2 + 729300^2 .

It is not a de Polignac number, because 4218090332401 - 2²⁹ = 4217553461489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4218090332471) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22498435 + ... + 22685143.

Almost surely, 2^{4218090332401} is an apocalyptic number.

4218090332401 is the 2053799-th square number.

4218090332401 is the 1026900-th centered octagonal number.

It is an amenable number.

4218090332401 is a deficient number, since it is larger than the sum of its proper divisors (418347840602).

4218090332401 is an frugal number, since it uses more digits than its factorization.

4218090332401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373440 (or 186720 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 4218090332401 in words is "four trillion, two hundred eighteen billion, ninety million, three hundred thirty-two thousand, four hundred one".