445644122000 has 640 divisors, whose sum is σ = 1391375232000. Its totient is φ = 136829952000.

The previous prime is 445644121961. The next prime is 445644122017. The reversal of 445644122000 is 221446544.

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, 550857596 + ... + 550858404.

It is an arithmetic number, because the mean of its divisors is an integer number (2174023800).

Almost surely, 2^445644122000 is an apocalyptic number.

445644122000 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 445644122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695687616000).

445644122000 is an abundant number, since it is smaller than the sum of its proper divisors (945731110000).

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

445644122000 is a wasteful number, since it uses less digits than its factorization.

445644122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 445644122000 its reverse (221446544), we get a palindrome (445865568544).

The spelling of 445644122000 in words is "four hundred forty-five billion, six hundred forty-four million, one hundred twenty-two thousand".