404444004000 has 192 divisors, whose sum is σ = 1325638379520. Its totient is φ = 107796403200.

The previous prime is 404444003983. The next prime is 404444004017. The reversal of 404444004000 is 400444404.

It is an interprime number because it is at equal distance from previous prime (404444003983) and next prime (404444004017).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26860474 + ... + 26875526.

It is an arithmetic number, because the mean of its divisors is an integer number (6904366560).

Almost surely, 2^404444004000 is an apocalyptic number.

404444004000 is a gapful number since it is divisible by the number (40) 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 404444004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662819189760).

404444004000 is an abundant number, since it is smaller than the sum of its proper divisors (921194375520).

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

404444004000 is a wasteful number, since it uses less digits than its factorization.

404444004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17320 (or 17302 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 404444004000 its reverse (400444404), we get a palindrome (404844448404).

The spelling of 404444004000 in words is "four hundred four billion, four hundred forty-four million, four thousand".