11414404431441 has 48 divisors (see below), whose sum is σ = 18613131667200. Its totient is φ = 6908197998240.

The previous prime is 11414404431439. The next prime is 11414404431457. The reversal of 11414404431441 is 14413440441411.

11414404431441 is a `hidden beast` number, since 1 + 1 + 4 + 144 + 0 + 44 + 31 + 441 = 666.

It is not a de Polignac number, because 11414404431441 - 2¹ = 11414404431439 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11414404431396 and 11414404431405.

It is not an unprimeable number, because it can be changed into a prime (11414404431401) 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 47 ways as a sum of consecutive naturals, for example, 80686 + ... + 4778631.

It is an arithmetic number, because the mean of its divisors is an integer number (387773576400).

Almost surely, 2^{11414404431441} is an apocalyptic number.

11414404431441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11414404431441 is a deficient number, since it is larger than the sum of its proper divisors (7198727235759).

11414404431441 is a wasteful number, since it uses less digits than its factorization.

11414404431441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860067 (or 4860050 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 11414404431441 its reverse (14413440441411), we get a palindrome (25827844872852).

The spelling of 11414404431441 in words is "eleven trillion, four hundred fourteen billion, four hundred four million, four hundred thirty-one thousand, four hundred forty-one".