4004421403000 has 128 divisors (see below), whose sum is σ = 9488422944000. Its totient is φ = 1581605635200.

The previous prime is 4004421402979. The next prime is 4004421403061. The reversal of 4004421403000 is 3041244004.

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 31 ways as a sum of consecutive naturals, for example, 164244811 + ... + 164269189.

It is an arithmetic number, because the mean of its divisors is an integer number (74128304250).

Almost surely, 2^{4004421403000} is an apocalyptic number.

4004421403000 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 4004421403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744211472000).

4004421403000 is an abundant number, since it is smaller than the sum of its proper divisors (5484001541000).

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

4004421403000 is a wasteful number, since it uses less digits than its factorization.

4004421403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26462 (or 26448 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 4004421403000 its reverse (3041244004), we get a palindrome (4007462647004).

The spelling of 4004421403000 in words is "four trillion, four billion, four hundred twenty-one million, four hundred three thousand".