4089730401 has 9 divisors (see below), whose sum is σ = 5907665491. Its totient is φ = 2726359032.

The previous prime is 4089730369. The next prime is 4089730453. The reversal of 4089730401 is 1040379804.

It is a happy number.

The square root of 4089730401 is 63951.

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

4089730401 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., 4088963025 + 767376 = 63945^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 4089730401 - 2⁵ = 4089730369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4089730201) 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, 181195 + ... + 202511.

Almost surely, 2^4089730401 is an apocalyptic number.

4089730401 is the 63951-st square number.

4089730401 is the 31976-th centered octagonal number.

It is an amenable number.

4089730401 is a deficient number, since it is larger than the sum of its proper divisors (1817935090).

4089730401 is an frugal number, since it uses more digits than its factorization.

4089730401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42640 (or 21320 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 4089730401 is about 1599.1832290878.

Multiplying 4089730401 by its sum of digits (36), we get a square (147230294436 = 383706²).

The spelling of 4089730401 in words is "four billion, eighty-nine million, seven hundred thirty thousand, four hundred one".