4004401821 has 64 divisors (see below), whose sum is σ = 6493175808. Its totient is φ = 2145927168.

The previous prime is 4004401813. The next prime is 4004401847. The reversal of 4004401821 is 1281044004.

It is not a de Polignac number, because 4004401821 - 2³ = 4004401813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4004401791 and 4004401800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004401871) 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 63 ways as a sum of consecutive naturals, for example, 5949741 + ... + 5950413.

It is an arithmetic number, because the mean of its divisors is an integer number (101455872).

Almost surely, 2^4004401821 is an apocalyptic number.

It is an amenable number.

4004401821 is a deficient number, since it is larger than the sum of its proper divisors (2488773987).

4004401821 is a wasteful number, since it uses less digits than its factorization.

4004401821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930.

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4004401821 is about 63280.3430853531. The cubic root of 4004401821 is about 1587.9831264452.

Adding to 4004401821 its reverse (1281044004), we get a palindrome (5285445825).

The spelling of 4004401821 in words is "four billion, four million, four hundred one thousand, eight hundred twenty-one".