1004224133104 has 80 divisors (see below), whose sum is σ = 1981353765600. Its totient is φ = 493010158592.

The previous prime is 1004224133083. The next prime is 1004224133111. The reversal of 1004224133104 is 4013314224001.

It is a super-2 number, since 2×1004224133104² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90718482 + ... + 90729550.

It is an arithmetic number, because the mean of its divisors is an integer number (24766922070).

Almost surely, 2^{1004224133104} is an apocalyptic number.

It is an amenable number.

1004224133104 is a deficient number, since it is larger than the sum of its proper divisors (977129632496).

1004224133104 is a wasteful number, since it uses less digits than its factorization.

1004224133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11650 (or 11644 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1004224133104 its reverse (4013314224001), we get a palindrome (5017538357105).

The spelling of 1004224133104 in words is "one trillion, four billion, two hundred twenty-four million, one hundred thirty-three thousand, one hundred four".