1004444430330 has 128 divisors (see below), whose sum is σ = 2831709404160. Its totient is φ = 225293603840.

The previous prime is 1004444430329. The next prime is 1004444430337. The reversal of 1004444430330 is 330344444001.

It is a super-2 number, since 2×1004444430330² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1004444430337) 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, 1186344 + ... + 1848323.

It is an arithmetic number, because the mean of its divisors is an integer number (22122729720).

Almost surely, 2^{1004444430330} is an apocalyptic number.

1004444430330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1004444430330 is an abundant number, since it is smaller than the sum of its proper divisors (1827264973830).

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

1004444430330 is a wasteful number, since it uses less digits than its factorization.

1004444430330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034764.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 1004444430330 its reverse (330344444001), we get a palindrome (1334788874331).

The spelling of 1004444430330 in words is "one trillion, four billion, four hundred forty-four million, four hundred thirty thousand, three hundred thirty".