14401113414435 has 240 divisors, whose sum is σ = 29640824845632. Its totient is φ = 6671655175680.

The previous prime is 14401113414319. The next prime is 14401113414473. The reversal of 14401113414435 is 53441431110441.

14401113414435 is a `hidden beast` number, since 1 + 440 + 1 + 11 + 34 + 144 + 35 = 666.

It is not a de Polignac number, because 14401113414435 - 2¹⁰ = 14401113413411 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14401113414435.

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 239 ways as a sum of consecutive naturals, for example, 1141761189 + ... + 1141773801.

Almost surely, 2^{14401113414435} is an apocalyptic number.

14401113414435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14401113414435 is an abundant number, since it is smaller than the sum of its proper divisors (15239711431197).

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

14401113414435 is a wasteful number, since it uses less digits than its factorization.

14401113414435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13688 (or 13668 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 14401113414435 its reverse (53441431110441), we get a palindrome (67842544524876).

The spelling of 14401113414435 in words is "fourteen trillion, four hundred one billion, one hundred thirteen million, four hundred fourteen thousand, four hundred thirty-five".