445432512224440 has 256 divisors, whose sum is σ = 1130158075495680. Its totient is φ = 156770809282560.

The previous prime is 445432512224407. The next prime is 445432512224503. The reversal of 445432512224440 is 44422215234544.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4261929624 + ... + 4262034136.

It is an arithmetic number, because the mean of its divisors is an integer number (4414679982405).

Almost surely, 2^{445432512224440} is an apocalyptic number.

445432512224440 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 445432512224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565079037747840).

445432512224440 is an abundant number, since it is smaller than the sum of its proper divisors (684725563271240).

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

445432512224440 is a wasteful number, since it uses less digits than its factorization.

445432512224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105794 (or 105790 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 46.

Adding to 445432512224440 its reverse (44422215234544), we get a palindrome (489854727458984).

The spelling of 445432512224440 in words is "four hundred forty-five trillion, four hundred thirty-two billion, five hundred twelve million, two hundred twenty-four thousand, four hundred forty".