444476303040 has 1344 divisors, whose sum is σ = 1865405260800. Its totient is φ = 88871731200.

The previous prime is 444476303017. The next prime is 444476303041. The reversal of 444476303040 is 40303674444.

444476303040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 444476303040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444476303041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6088716444 + ... + 6088716516.

Almost surely, 2^444476303040 is an apocalyptic number.

444476303040 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 444476303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932702630400).

444476303040 is an abundant number, since it is smaller than the sum of its proper divisors (1420928957760).

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

444476303040 is a wasteful number, since it uses less digits than its factorization.

444476303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 39.

Adding to 444476303040 its reverse (40303674444), we get a palindrome (484779977484).

The spelling of 444476303040 in words is "four hundred forty-four billion, four hundred seventy-six million, three hundred three thousand, forty".