445131342144000 has 480 divisors, whose sum is σ = 1687662812309760. Its totient is φ = 112454231040000.

The previous prime is 445131342143993. The next prime is 445131342144007. The reversal of 445131342144000 is 441243131544.

It is a happy number.

445131342144000 is a `hidden beast` number, since 4 + 4 + 5 + 1 + 3 + 1 + 34 + 214 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (445131342143993) and next prime (445131342144007).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (445131342144007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9392776 + ... + 31280775.

It is an arithmetic number, because the mean of its divisors is an integer number (3515964192312).

Almost surely, 2^{445131342144000} is an apocalyptic number.

445131342144000 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 445131342144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843831406154880).

445131342144000 is an abundant number, since it is smaller than the sum of its proper divisors (1242531470165760).

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

445131342144000 is a wasteful number, since it uses less digits than its factorization.

445131342144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40673609 (or 40673580 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 445131342144000 its reverse (441243131544), we get a palindrome (445572585275544).

The spelling of 445131342144000 in words is "four hundred forty-five trillion, one hundred thirty-one billion, three hundred forty-two million, one hundred forty-four thousand".