14909510140 has 192 divisors, whose sum is σ = 39718748160. Its totient is φ = 4585662720.

The previous prime is 14909510137. The next prime is 14909510167. The reversal of 14909510140 is 4101590941.

It is a super-2 number, since 2×14909510140² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14909510096 and 14909510105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3873697 + ... + 3877543.

It is an arithmetic number, because the mean of its divisors is an integer number (206868480).

Almost surely, 2^14909510140 is an apocalyptic number.

14909510140 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 14909510140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19859374080).

14909510140 is an abundant number, since it is smaller than the sum of its proper divisors (24809238020).

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

14909510140 is a wasteful number, since it uses less digits than its factorization.

14909510140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 14909510140 in words is "fourteen billion, nine hundred nine million, five hundred ten thousand, one hundred forty".