1004433034220 has 192 divisors, whose sum is σ = 2716539420672. Its totient is φ = 302756832000.

The previous prime is 1004433034217. The next prime is 1004433034223. The reversal of 1004433034220 is 224303344001.

It is an interprime number because it is at equal distance from previous prime (1004433034217) and next prime (1004433034223).

It is a self number, because there is not a number n which added to its sum of digits gives 1004433034220.

It is not an unprimeable number, because it can be changed into a prime (1004433034223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75565775 + ... + 75579065.

It is an arithmetic number, because the mean of its divisors is an integer number (14148642816).

Almost surely, 2^{1004433034220} is an apocalyptic number.

1004433034220 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 1004433034220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358269710336).

1004433034220 is an abundant number, since it is smaller than the sum of its proper divisors (1712106386452).

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

1004433034220 is a wasteful number, since it uses less digits than its factorization.

1004433034220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14932 (or 14930 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 1004433034220 its reverse (224303344001), we get a palindrome (1228736378221).

The spelling of 1004433034220 in words is "one trillion, four billion, four hundred thirty-three million, thirty-four thousand, two hundred twenty".