4004214303 has 16 divisors (see below), whose sum is σ = 5521582080. Its totient is φ = 2579599776.

The previous prime is 4004214287. The next prime is 4004214329. The reversal of 4004214303 is 3034124004.

It is not a de Polignac number, because 4004214303 - 2⁴ = 4004214287 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4004214303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004214103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168600 + ... + 190877.

It is an arithmetic number, because the mean of its divisors is an integer number (345098880).

Almost surely, 2^4004214303 is an apocalyptic number.

4004214303 is a deficient number, since it is larger than the sum of its proper divisors (1517367777).

4004214303 is a wasteful number, since it uses less digits than its factorization.

4004214303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359606.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4004214303 is about 63278.8614230692. The cubic root of 4004214303 is about 1587.9583387174.

Adding to 4004214303 its reverse (3034124004), we get a palindrome (7038338307).

It can be divided in two parts, 40042 and 14303, that added together give a palindrome (54345).

The spelling of 4004214303 in words is "four billion, four million, two hundred fourteen thousand, three hundred three".