1441120400320 has 56 divisors (see below), whose sum is σ = 3436201777824. Its totient is φ = 575686573056.

The previous prime is 1441120400309. The next prime is 1441120400339. The reversal of 1441120400320 is 230040211441.

It is a happy number.

It is a super-3 number, since 3×1441120400320³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1441120400291 and 1441120400300.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2732332 + ... + 3216811.

Almost surely, 2^{1441120400320} is an apocalyptic number.

1441120400320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1441120400320 is an abundant number, since it is smaller than the sum of its proper divisors (1995081377504).

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

1441120400320 is an equidigital number, since it uses as much as digits as its factorization.

1441120400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5949917 (or 5949907 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1441120400320 its reverse (230040211441), we get a palindrome (1671160611761).

The spelling of 1441120400320 in words is "one trillion, four hundred forty-one billion, one hundred twenty million, four hundred thousand, three hundred twenty".