444042220333400 has 384 divisors, whose sum is σ = 1159255402905600. Its totient is φ = 157065857740800.

The previous prime is 444042220333333. The next prime is 444042220333423. The reversal of 444042220333400 is 4333022240444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26291792156 + ... + 26291809044.

It is an arithmetic number, because the mean of its divisors is an integer number (3018894278400).

Almost surely, 2^{444042220333400} is an apocalyptic number.

444042220333400 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 444042220333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579627701452800).

444042220333400 is an abundant number, since it is smaller than the sum of its proper divisors (715213182572200).

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

444042220333400 is a wasteful number, since it uses less digits than its factorization.

444042220333400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20219 (or 20210 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 35.

Adding to 444042220333400 its reverse (4333022240444), we get a palindrome (448375242573844).

The spelling of 444042220333400 in words is "four hundred forty-four trillion, forty-two billion, two hundred twenty million, three hundred thirty-three thousand, four hundred".