14542128480 has 288 divisors, whose sum is σ = 50618276352. Its totient is φ = 3506652160.

The previous prime is 14542128449. The next prime is 14542128493. The reversal of 14542128480 is 8482124541.

It is a super-5 number, since 5×14542128480⁵ (a number of 52 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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, 13183609 + ... + 13184711.

It is an arithmetic number, because the mean of its divisors is an integer number (175757904).

Almost surely, 2^14542128480 is an apocalyptic number.

14542128480 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 14542128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25309138176).

14542128480 is an abundant number, since it is smaller than the sum of its proper divisors (36076147872).

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

14542128480 is a wasteful number, since it uses less digits than its factorization.

14542128480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The spelling of 14542128480 in words is "fourteen billion, five hundred forty-two million, one hundred twenty-eight thousand, four hundred eighty".