444104444201400 has 192 divisors, whose sum is σ = 1529778201619200. Its totient is φ = 118421262161280.

The previous prime is 444104444201347. The next prime is 444104444201413. The reversal of 444104444201400 is 4102444401444.

444104444201400 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 0 + 4 + 4 + 44 + 201 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95153157 + ... + 99711243.

It is an arithmetic number, because the mean of its divisors is an integer number (7967594800100).

Almost surely, 2^{444104444201400} is an apocalyptic number.

444104444201400 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 444104444201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764889100809600).

444104444201400 is an abundant number, since it is smaller than the sum of its proper divisors (1085673757417800).

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

444104444201400 is a wasteful number, since it uses less digits than its factorization.

444104444201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576155 (or 4576140 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 444104444201400 its reverse (4102444401444), we get a palindrome (448206888602844).

The spelling of 444104444201400 in words is "four hundred forty-four trillion, one hundred four billion, four hundred forty-four million, two hundred one thousand, four hundred".