445405351040 has 128 divisors (see below), whose sum is σ = 1147036630320. Its totient is φ = 164409753600.

The previous prime is 445405351033. The next prime is 445405351063. The reversal of 445405351040 is 40153504544.

It can be written as a sum of positive squares in 8 ways, for example, as 225579402304 + 219825948736 = 474952^2 + 468856^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43233890 + ... + 43244190.

Almost surely, 2^445405351040 is an apocalyptic number.

445405351040 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 445405351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573518315160).

445405351040 is an abundant number, since it is smaller than the sum of its proper divisors (701631279280).

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

445405351040 is a wasteful number, since it uses less digits than its factorization.

445405351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15530 (or 15518 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

Adding to 445405351040 its reverse (40153504544), we get a palindrome (485558855584).

The spelling of 445405351040 in words is "four hundred forty-five billion, four hundred five million, three hundred fifty-one thousand, forty".