1004320224600 has 1536 divisors, whose sum is σ = 4154339819520. Its totient is φ = 194688000000.

The previous prime is 1004320224577. The next prime is 1004320224613. The reversal of 1004320224600 is 64220234001.

It is a super-2 number, since 2×1004320224600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7666566535 + ... + 7666566665.

It is an arithmetic number, because the mean of its divisors is an integer number (2704648320).

Almost surely, 2^{1004320224600} is an apocalyptic number.

1004320224600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004320224600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077169909760).

1004320224600 is an abundant number, since it is smaller than the sum of its proper divisors (3150019594920).

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

1004320224600 is a wasteful number, since it uses less digits than its factorization.

1004320224600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1004320224600 its reverse (64220234001), we get a palindrome (1068540458601).

The spelling of 1004320224600 in words is "one trillion, four billion, three hundred twenty million, two hundred twenty-four thousand, six hundred".