1004400441330 has 128 divisors (see below), whose sum is σ = 2832456646656. Its totient is φ = 224723731200.

The previous prime is 1004400441307. The next prime is 1004400441349. The reversal of 1004400441330 is 331440044001.

It is a self number, because there is not a number n which added to its sum of digits gives 1004400441330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32103595 + ... + 32134865.

It is an arithmetic number, because the mean of its divisors is an integer number (22128567552).

Almost surely, 2^{1004400441330} is an apocalyptic number.

1004400441330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004400441330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416228323328).

1004400441330 is an abundant number, since it is smaller than the sum of its proper divisors (1828056205326).

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

1004400441330 is a wasteful number, since it uses less digits than its factorization.

1004400441330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38792.

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

Adding to 1004400441330 its reverse (331440044001), we get a palindrome (1335840485331).

The spelling of 1004400441330 in words is "one trillion, four billion, four hundred million, four hundred forty-one thousand, three hundred thirty".