441120102240000 has 720 divisors, whose sum is σ = 1546629675478272. Its totient is φ = 111357345792000.

The previous prime is 441120102239963. The next prime is 441120102240019. The reversal of 441120102240000 is 42201021144.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1070674039 + ... + 1071085961.

Almost surely, 2^{441120102240000} is an apocalyptic number.

441120102240000 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 441120102240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773314837739136).

441120102240000 is an abundant number, since it is smaller than the sum of its proper divisors (1105509573238272).

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

441120102240000 is an equidigital number, since it uses as much as digits as its factorization.

441120102240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412082 (or 412053 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 441120102240000 its reverse (42201021144), we get a palindrome (441162303261144).

The spelling of 441120102240000 in words is "four hundred forty-one trillion, one hundred twenty billion, one hundred two million, two hundred forty thousand".