14142388480 has 144 divisors (see below), whose sum is σ = 38148300288. Its totient is φ = 4976640000.

The previous prime is 14142388457. The next prime is 14142388523. The reversal of 14142388480 is 8488324141.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420280 + ... + 452680.

It is an arithmetic number, because the mean of its divisors is an integer number (264918752).

Almost surely, 2^14142388480 is an apocalyptic number.

14142388480 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 14142388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19074150144).

14142388480 is an abundant number, since it is smaller than the sum of its proper divisors (24005911808).

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

14142388480 is a wasteful number, since it uses less digits than its factorization.

14142388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32464 (or 32450 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 43.

The spelling of 14142388480 in words is "fourteen billion, one hundred forty-two million, three hundred eighty-eight thousand, four hundred eighty".