445142241544 has 128 divisors (see below), whose sum is σ = 1121029217280. Its totient is φ = 160035206400.

The previous prime is 445142241527. The next prime is 445142241553.

445142241544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445142241497 and 445142241506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27947967 + ... + 27963889.

It is an arithmetic number, because the mean of its divisors is an integer number (8758040760).

Almost surely, 2^445142241544 is an apocalyptic number.

445142241544 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 445142241544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560514608640).

445142241544 is an abundant number, since it is smaller than the sum of its proper divisors (675886975736).

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

445142241544 is a wasteful number, since it uses less digits than its factorization.

445142241544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19451 (or 19447 counting only the distinct ones).

The product of its digits is 409600, while the sum is 40.

It can be divided in two parts, 445142 and 241544, that added together give a palindrome (686686).

The spelling of 445142241544 in words is "four hundred forty-five billion, one hundred forty-two million, two hundred forty-one thousand, five hundred forty-four".