445201230134240 has 768 divisors, whose sum is σ = 1124181500682240. Its totient is φ = 166425848709120.

The previous prime is 445201230134233. The next prime is 445201230134299. The reversal of 445201230134240 is 42431032102544.

It is a self number, because there is not a number n which added to its sum of digits gives 445201230134240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1121413677722 + ... + 1121413678118.

It is an arithmetic number, because the mean of its divisors is an integer number (1463777995680).

Almost surely, 2^{445201230134240} is an apocalyptic number.

445201230134240 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 445201230134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562090750341120).

445201230134240 is an abundant number, since it is smaller than the sum of its proper divisors (678980270548000).

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

445201230134240 is a wasteful number, since it uses less digits than its factorization.

445201230134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 445201230134240 its reverse (42431032102544), we get a palindrome (487632262236784).

The spelling of 445201230134240 in words is "four hundred forty-five trillion, two hundred one billion, two hundred thirty million, one hundred thirty-four thousand, two hundred forty".