14540424022200 has 192 divisors, whose sum is σ = 48133819238400. Its totient is φ = 3622975372800.

The previous prime is 14540424022177. The next prime is 14540424022259. The reversal of 14540424022200 is 222042404541.

14540424022200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×14540424022200³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 12938932 + ... + 14017731.

It is an arithmetic number, because the mean of its divisors is an integer number (250696975200).

Almost surely, 2^{14540424022200} is an apocalyptic number.

14540424022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14540424022200 is an abundant number, since it is smaller than the sum of its proper divisors (33593395216200).

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

14540424022200 is a wasteful number, since it uses less digits than its factorization.

14540424022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26956742 (or 26956733 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 14540424022200 its reverse (222042404541), we get a palindrome (14762466426741).

The spelling of 14540424022200 in words is "fourteen trillion, five hundred forty billion, four hundred twenty-four million, twenty-two thousand, two hundred".