441433305440 has 48 divisors (see below), whose sum is σ = 1056087305280. Its totient is φ = 174338211840.

The previous prime is 441433305431. The next prime is 441433305463. The reversal of 441433305440 is 44503334144.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 441433305440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17449121 + ... + 17474400.

It is an arithmetic number, because the mean of its divisors is an integer number (22001818860).

Almost surely, 2^441433305440 is an apocalyptic number.

441433305440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441433305440 is an abundant number, since it is smaller than the sum of its proper divisors (614653999840).

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

441433305440 is a wasteful number, since it uses less digits than its factorization.

441433305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34923615 (or 34923607 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 441433305440 its reverse (44503334144), we get a palindrome (485936639584).

The spelling of 441433305440 in words is "four hundred forty-one billion, four hundred thirty-three million, three hundred five thousand, four hundred forty".