4221312004 has 96 divisors (see below), whose sum is σ = 9598417920. Its totient is φ = 1577480832.

The previous prime is 4221311929. The next prime is 4221312037. The reversal of 4221312004 is 4002131224.

It is a super-2 number, since 2×4221312004² = 35638950070228992032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3229119 + ... + 3230425.

It is an arithmetic number, because the mean of its divisors is an integer number (99983520).

Almost surely, 2^4221312004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4221312004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799208960).

4221312004 is an abundant number, since it is smaller than the sum of its proper divisors (5377105916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4221312004 is a wasteful number, since it uses less digits than its factorization.

4221312004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4221312004 is about 64971.6246064388. The cubic root of 4221312004 is about 1616.1530429061.

Adding to 4221312004 its reverse (4002131224), we get a palindrome (8223443228).

The spelling of 4221312004 in words is "four billion, two hundred twenty-one million, three hundred twelve thousand, four".