14940309384 has 640 divisors, whose sum is σ = 58076282880. Its totient is φ = 3461875200.

The previous prime is 14940309367. The next prime is 14940309389. The reversal of 14940309384 is 48390304941.

It is a happy number.

It is a super-3 number, since 3×14940309384³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14940309389) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20107717 + ... + 20108459.

It is an arithmetic number, because the mean of its divisors is an integer number (90744192).

Almost surely, 2^14940309384 is an apocalyptic number.

14940309384 is a gapful number since it is divisible by the number (14) 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 14940309384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29038141440).

14940309384 is an abundant number, since it is smaller than the sum of its proper divisors (43135973496).

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

14940309384 is a wasteful number, since it uses less digits than its factorization.

14940309384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 14940309384 in words is "fourteen billion, nine hundred forty million, three hundred nine thousand, three hundred eighty-four".