14832954240 has 384 divisors, whose sum is σ = 54228463200. Its totient is φ = 3435134976.

The previous prime is 14832954221. The next prime is 14832954263. The reversal of 14832954240 is 4245923841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 14832954192 and 14832954201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5514816 + ... + 5517504.

Almost surely, 2^14832954240 is an apocalyptic number.

14832954240 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 14832954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27114231600).

14832954240 is an abundant number, since it is smaller than the sum of its proper divisors (39395508960).

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

14832954240 is a wasteful number, since it uses less digits than its factorization.

14832954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 14832954240 in words is "fourteen billion, eight hundred thirty-two million, nine hundred fifty-four thousand, two hundred forty".