14123471040 has 756 divisors, whose sum is σ = 59570800848. Its totient is φ = 3124085760.

The previous prime is 14123471027. The next prime is 14123471069. The reversal of 14123471040 is 4017432141.

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-3 number, since 3×14123471040³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14123470995 and 14123471013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 455595825 + ... + 455595855.

Almost surely, 2^14123471040 is an apocalyptic number.

14123471040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14123471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29785400424).

14123471040 is an abundant number, since it is smaller than the sum of its proper divisors (45447329808).

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

14123471040 is an frugal number, since it uses more digits than its factorization.

14123471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 14123471040 in words is "fourteen billion, one hundred twenty-three million, four hundred seventy-one thousand, forty".