14988542400000 has 1440 divisors, whose sum is σ = 60078543164640. Its totient is φ = 3687690240000.

The previous prime is 14988542399993. The next prime is 14988542400011. The reversal of 14988542400000 is 424588941.

14988542400000 is a `hidden beast` number, since 1 + 498 + 85 + 42 + 40 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7300798974 + ... + 7300801026.

It is an arithmetic number, because the mean of its divisors is an integer number (41721210531).

Almost surely, 2^{14988542400000} is an apocalyptic number.

14988542400000 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 14988542400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30039271582320).

14988542400000 is an abundant number, since it is smaller than the sum of its proper divisors (45090000764640).

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

14988542400000 is an frugal number, since it uses more digits than its factorization.

14988542400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

Adding to 14988542400000 its reverse (424588941), we get a palindrome (14988966988941).

The spelling of 14988542400000 in words is "fourteen trillion, nine hundred eighty-eight billion, five hundred forty-two million, four hundred thousand".