14933690240 has 128 divisors (see below), whose sum is σ = 42575224320. Its totient is φ = 4897474560.

The previous prime is 14933690237. The next prime is 14933690249. The reversal of 14933690240 is 4209633941.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14933690249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30575 + ... + 175505.

It is an arithmetic number, because the mean of its divisors is an integer number (332618940).

Almost surely, 2^14933690240 is an apocalyptic number.

14933690240 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 14933690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21287612160).

14933690240 is an abundant number, since it is smaller than the sum of its proper divisors (27641534080).

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

14933690240 is a wasteful number, since it uses less digits than its factorization.

14933690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144980 (or 144968 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 41.

The spelling of 14933690240 in words is "fourteen billion, nine hundred thirty-three million, six hundred ninety thousand, two hundred forty".