444420320520 has 128 divisors (see below), whose sum is σ = 1460502679680. Its totient is φ = 107291136000.

The previous prime is 444420320507. The next prime is 444420320521. The reversal of 444420320520 is 25023024444.

444420320520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×444420320520³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (444420320521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380391 + ... + 1016630.

It is an arithmetic number, because the mean of its divisors is an integer number (11410177185).

Almost surely, 2^444420320520 is an apocalyptic number.

444420320520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444420320520 is an abundant number, since it is smaller than the sum of its proper divisors (1016082359160).

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

444420320520 is a wasteful number, since it uses less digits than its factorization.

444420320520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397287 (or 1397283 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 444420320520 its reverse (25023024444), we get a palindrome (469443344964).

The spelling of 444420320520 in words is "four hundred forty-four billion, four hundred twenty million, three hundred twenty thousand, five hundred twenty".