14326740480 has 640 divisors, whose sum is σ = 54644502528. Its totient is φ = 3166175232.

The previous prime is 14326740469. The next prime is 14326740481. The reversal of 14326740480 is 8404762341.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×14326740480³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14326740481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39037257 + ... + 39037623.

Almost surely, 2^14326740480 is an apocalyptic number.

14326740480 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 14326740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27322251264).

14326740480 is an abundant number, since it is smaller than the sum of its proper divisors (40317762048).

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

14326740480 is a wasteful number, since it uses less digits than its factorization.

14326740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 14326740480 in words is "fourteen billion, three hundred twenty-six million, seven hundred forty thousand, four hundred eighty".