441134223440 has 40 divisors (see below), whose sum is σ = 1058722142208. Its totient is φ = 170761633920.

The previous prime is 441134223437. The next prime is 441134223443. The reversal of 441134223440 is 44322431144.

It is an interprime number because it is at equal distance from previous prime (441134223437) and next prime (441134223443).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×441134223440³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 441134223397 and 441134223406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441134223443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88935872 + ... + 88940831.

Almost surely, 2^441134223440 is an apocalyptic number.

441134223440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441134223440 is an abundant number, since it is smaller than the sum of its proper divisors (617587918768).

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

441134223440 is a wasteful number, since it uses less digits than its factorization.

441134223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177876747 (or 177876741 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 441134223440 its reverse (44322431144), we get a palindrome (485456654584).

The spelling of 441134223440 in words is "four hundred forty-one billion, one hundred thirty-four million, two hundred twenty-three thousand, four hundred forty".