14145763040 has 96 divisors (see below), whose sum is σ = 34737323040. Its totient is φ = 5438859264.

The previous prime is 14145763033. The next prime is 14145763061. The reversal of 14145763040 is 4036754141.

14145763040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14145763040² (a number of 21 digits) contains 22 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, 476966 + ... + 505754.

It is an arithmetic number, because the mean of its divisors is an integer number (361847115).

Almost surely, 2^14145763040 is an apocalyptic number.

14145763040 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 14145763040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17368661520).

14145763040 is an abundant number, since it is smaller than the sum of its proper divisors (20591560000).

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

14145763040 is a wasteful number, since it uses less digits than its factorization.

14145763040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28924 (or 28916 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 14145763040 in words is "fourteen billion, one hundred forty-five million, seven hundred sixty-three thousand, forty".