1121441414401 has 8 divisors (see below), whose sum is σ = 1398160724544. Its totient is φ = 873850452720.

The previous prime is 1121441414393. The next prime is 1121441414411. The reversal of 1121441414401 is 1044141441211.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1121441414401 - 2³ = 1121441414393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1121441414401.

It is not an unprimeable number, because it can be changed into a prime (1121441414411) by changing a digit.

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, 7282087030 + ... + 7282087183.

It is an arithmetic number, because the mean of its divisors is an integer number (174770090568).

Almost surely, 2^{1121441414401} is an apocalyptic number.

1121441414401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121441414401 is a deficient number, since it is larger than the sum of its proper divisors (276719310143).

1121441414401 is a wasteful number, since it uses less digits than its factorization.

1121441414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14564174231.

The product of its (nonzero) digits is 2048, while the sum is 28.

Adding to 1121441414401 its reverse (1044141441211), we get a palindrome (2165582855612).

It can be divided in two parts, 11 and 21441414401, that added together give a palindrome (21441414412).

The spelling of 1121441414401 in words is "one trillion, one hundred twenty-one billion, four hundred forty-one million, four hundred fourteen thousand, four hundred one".