1004220433120 has 192 divisors, whose sum is σ = 2465551872000. Its totient is φ = 386112430080.

The previous prime is 1004220433061. The next prime is 1004220433121. The reversal of 1004220433120 is 213340224001.

It is a junction number, because it is equal to n+sod(n) for n = 1004220433091 and 1004220433100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004220433121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674425336 + ... + 674426824.

It is an arithmetic number, because the mean of its divisors is an integer number (12841416000).

Almost surely, 2^{1004220433120} is an apocalyptic number.

1004220433120 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 1004220433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232775936000).

1004220433120 is an abundant number, since it is smaller than the sum of its proper divisors (1461331438880).

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

1004220433120 is a wasteful number, since it uses less digits than its factorization.

1004220433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1004220433120 its reverse (213340224001), we get a palindrome (1217560657121).

The spelling of 1004220433120 in words is "one trillion, four billion, two hundred twenty million, four hundred thirty-three thousand, one hundred twenty".