4004231841 has 45 divisors (see below), whose sum is σ = 6127141251. Its totient is φ = 2606082336.

The previous prime is 4004231827. The next prime is 4004231863. The reversal of 4004231841 is 1481324004.

The square root of 4004231841 is 63279.

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

It can be written as a sum of positive squares in only one way, i.e., 768897441 + 3235334400 = 27729^2 + 56880^2 .

It is not a de Polignac number, because 4004231841 - 2¹³ = 4004223649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4004231821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 44991325 + ... + 44991413.

Almost surely, 2^4004231841 is an apocalyptic number.

4004231841 is the 63279-th square number.

4004231841 is the 31640-th centered octagonal number.

It is an amenable number.

4004231841 is a deficient number, since it is larger than the sum of its proper divisors (2122909410).

4004231841 is an frugal number, since it uses more digits than its factorization.

4004231841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The cubic root of 4004231841 is about 1587.9606570725.

Adding to 4004231841 its reverse (1481324004), we get a palindrome (5485555845).

The spelling of 4004231841 in words is "four billion, four million, two hundred thirty-one thousand, eight hundred forty-one".