445313132400 has 240 divisors, whose sum is σ = 1439470368000. Its totient is φ = 117672622080.

The previous prime is 445313132389. The next prime is 445313132417. The reversal of 445313132400 is 4231313544.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99910972 + ... + 99915428.

It is an arithmetic number, because the mean of its divisors is an integer number (5997793200).

Almost surely, 2^445313132400 is an apocalyptic number.

445313132400 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 445313132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719735184000).

445313132400 is an abundant number, since it is smaller than the sum of its proper divisors (994157235600).

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

445313132400 is a wasteful number, since it uses less digits than its factorization.

445313132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5216 (or 5205 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 445313132400 its reverse (4231313544), we get a palindrome (449544445944).

The spelling of 445313132400 in words is "four hundred forty-five billion, three hundred thirteen million, one hundred thirty-two thousand, four hundred".