444513220240 has 20 divisors (see below), whose sum is σ = 1033493237244. Its totient is φ = 177805288064.

The previous prime is 444513220237. The next prime is 444513220337. The reversal of 444513220240 is 42022315444.

It can be written as a sum of positive squares in 2 ways, for example, as 191129849856 + 253383370384 = 437184^2 + 503372^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2778207547 + ... + 2778207706.

Almost surely, 2^444513220240 is an apocalyptic number.

444513220240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444513220240 is an abundant number, since it is smaller than the sum of its proper divisors (588980017004).

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

444513220240 is a wasteful number, since it uses less digits than its factorization.

444513220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556415266 (or 5556415260 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 444513220240 its reverse (42022315444), we get a palindrome (486535535684).

The spelling of 444513220240 in words is "four hundred forty-four billion, five hundred thirteen million, two hundred twenty thousand, two hundred forty".