445427724544 has 108 divisors (see below), whose sum is σ = 981612988272. Its totient is φ = 201572039680.

The previous prime is 445427724527. The next prime is 445427724571.

445427724544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445427724491 and 445427724500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6999879 + ... + 7063225.

Almost surely, 2^445427724544 is an apocalyptic number.

445427724544 is a gapful number since it is divisible by the number (44) 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 445427724544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490806494136).

445427724544 is an abundant number, since it is smaller than the sum of its proper divisors (536185263728).

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

445427724544 is a wasteful number, since it uses less digits than its factorization.

445427724544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63612 (or 63587 counting only the distinct ones).

The product of its digits is 20070400, while the sum is 52.

The spelling of 445427724544 in words is "four hundred forty-five billion, four hundred twenty-seven million, seven hundred twenty-four thousand, five hundred forty-four".