1004004440 has 64 divisors (see below), whose sum is σ = 2376034560. Its totient is φ = 381288960.

The previous prime is 1004004431. The next prime is 1004004451. The reversal of 1004004440 is 444004001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58082 + ... + 73358.

It is an arithmetic number, because the mean of its divisors is an integer number (37125540).

Almost surely, 2^1004004440 is an apocalyptic number.

1004004440 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 1004004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188017280).

1004004440 is an abundant number, since it is smaller than the sum of its proper divisors (1372030120).

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

1004004440 is a wasteful number, since it uses less digits than its factorization.

1004004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15372 (or 15368 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1004004440 is about 31686.0290980110. The cubic root of 1004004440 is about 1001.3330355599. Note that the first 3 decimals are identical.

Adding to 1004004440 its reverse (444004001), we get a palindrome (1448008441).

The spelling of 1004004440 in words is "one billion, four million, four thousand, four hundred forty".