445202805120 has 128 divisors (see below), whose sum is σ = 1421908266240. Its totient is φ = 118484465664.

The previous prime is 445202805119. The next prime is 445202805121. The reversal of 445202805120 is 21508202544.

It is an interprime number because it is at equal distance from previous prime (445202805119) and next prime (445202805121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445202805121) by changing a digit.

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, 735267 + ... + 1196253.

It is an arithmetic number, because the mean of its divisors is an integer number (11108658330).

Almost surely, 2^445202805120 is an apocalyptic number.

445202805120 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 445202805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710954133120).

445202805120 is an abundant number, since it is smaller than the sum of its proper divisors (976705461120).

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

445202805120 is a wasteful number, since it uses less digits than its factorization.

445202805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461512 (or 461500 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The spelling of 445202805120 in words is "four hundred forty-five billion, two hundred two million, eight hundred five thousand, one hundred twenty".