11414004114000 has 80 divisors (see below), whose sum is σ = 36798749282880. Its totient is φ = 3043734428800.

The previous prime is 11414004113999. The next prime is 11414004114031. The reversal of 11414004114000 is 41140041411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×11414004114000³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 951161010 + ... + 951173009.

It is an arithmetic number, because the mean of its divisors is an integer number (459984366036).

Almost surely, 2^{11414004114000} is an apocalyptic number.

11414004114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11414004114000 is an abundant number, since it is smaller than the sum of its proper divisors (25384745168880).

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

11414004114000 is a wasteful number, since it uses less digits than its factorization.

11414004114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902334045 (or 1902334029 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 11414004114000 its reverse (41140041411), we get a palindrome (11455144155411).

The spelling of 11414004114000 in words is "eleven trillion, four hundred fourteen billion, four million, one hundred fourteen thousand".