444141120340 has 48 divisors (see below), whose sum is σ = 935937651600. Its totient is φ = 177039682560.

The previous prime is 444141120323. The next prime is 444141120343. The reversal of 444141120340 is 43021141444.

It can be written as a sum of positive squares in 8 ways, for example, as 33500944 + 444107619396 = 5788^2 + 666414^2 .

It is a super-2 number, since 2×444141120340² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444141120299 and 444141120308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444141120343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11994094 + ... + 12031066.

It is an arithmetic number, because the mean of its divisors is an integer number (19498701075).

Almost surely, 2^444141120340 is an apocalyptic number.

It is an amenable number.

444141120340 is an abundant number, since it is smaller than the sum of its proper divisors (491796531260).

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

444141120340 is a wasteful number, since it uses less digits than its factorization.

444141120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39052 (or 39050 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 444141120340 its reverse (43021141444), we get a palindrome (487162261784).

The spelling of 444141120340 in words is "four hundred forty-four billion, one hundred forty-one million, one hundred twenty thousand, three hundred forty".