445140031353200 has 240 divisors, whose sum is σ = 1152008244372480. Its totient is φ = 164748495421440.

The previous prime is 445140031353197. The next prime is 445140031353301. The reversal of 445140031353200 is 2353130041544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4674172784 + ... + 4674268016.

It is an arithmetic number, because the mean of its divisors is an integer number (4800034351552).

Almost surely, 2^{445140031353200} is an apocalyptic number.

445140031353200 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 445140031353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576004122186240).

445140031353200 is an abundant number, since it is smaller than the sum of its proper divisors (706868213019280).

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

445140031353200 is a wasteful number, since it uses less digits than its factorization.

445140031353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109616 (or 109605 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 445140031353200 its reverse (2353130041544), we get a palindrome (447493161394744).

The spelling of 445140031353200 in words is "four hundred forty-five trillion, one hundred forty billion, thirty-one million, three hundred fifty-three thousand, two hundred".