4238653322401 has 9 divisors (see below), whose sum is σ = 4431004675699. Its totient is φ = 4054318753936.

The previous prime is 4238653322389. The next prime is 4238653322413. The reversal of 4238653322401 is 1042233568324.

The square root of 4238653322401 is 2058799.

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

It is an interprime number because it is at equal distance from previous prime (4238653322389) and next prime (4238653322413).

It can be written as a sum of positive squares in only one way, i.e., 1550286461025 + 2688366861376 = 1245105^2 + 1639624^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4238653322401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4238653322441) 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, 47307621 + ... + 47397133.

Almost surely, 2^{4238653322401} is an apocalyptic number.

4238653322401 is the 2058799-th square number.

4238653322401 is the 1029400-th centered octagonal number.

It is an amenable number.

4238653322401 is a deficient number, since it is larger than the sum of its proper divisors (192351353298).

4238653322401 is an frugal number, since it uses more digits than its factorization.

4238653322401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179072 (or 89536 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 4238653322401 in words is "four trillion, two hundred thirty-eight billion, six hundred fifty-three million, three hundred twenty-two thousand, four hundred one".