2004444400440 has 32 divisors (see below), whose sum is σ = 6013333201680. Its totient is φ = 534518506752.

The previous prime is 2004444400429. The next prime is 2004444400501. The reversal of 2004444400440 is 440044444002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2004444400398 and 2004444400407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8351851549 + ... + 8351851788.

Almost surely, 2^{2004444400440} is an apocalyptic number.

2004444400440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004444400440 is an abundant number, since it is smaller than the sum of its proper divisors (4008888801240).

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

2004444400440 is a wasteful number, since it uses less digits than its factorization.

2004444400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16703703351 (or 16703703347 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 2004444400440 its reverse (440044444002), we get a palindrome (2444488844442).

The spelling of 2004444400440 in words is "two trillion, four billion, four hundred forty-four million, four hundred thousand, four hundred forty".