14111042000480 has 48 divisors (see below), whose sum is σ = 33337597328784. Its totient is φ = 5644372677120.

The previous prime is 14111042000477. The next prime is 14111042000483. The reversal of 14111042000480 is 8400024011141.

It is an interprime number because it is at equal distance from previous prime (14111042000477) and next prime (14111042000483).

It is a super-4 number, since 4×14111042000480⁴ (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111042000483) 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 7 ways as a sum of consecutive naturals, for example, 26890694 + ... + 27410426.

It is an arithmetic number, because the mean of its divisors is an integer number (694533277683).

Almost surely, 2^{14111042000480} is an apocalyptic number.

14111042000480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14111042000480 is an abundant number, since it is smaller than the sum of its proper divisors (19226555328304).

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

14111042000480 is a wasteful number, since it uses less digits than its factorization.

14111042000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689439 (or 689431 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 14111042000480 in words is "fourteen trillion, one hundred eleven billion, forty-two million, four hundred eighty", and thus it is an aban number.