14542400000 has 240 divisors, whose sum is σ = 37161293400. Its totient is φ = 5683200000.

The previous prime is 14542399973. The next prime is 14542400009. The reversal of 14542400000 is 424541.

It can be written as a sum of positive squares in 12 ways, for example, as 13245247744 + 1297152256 = 115088^2 + 36016^2 .

It is a super-2 number, since 2×14542400000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14542400009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97599926 + ... + 97600074.

Almost surely, 2^14542400000 is an apocalyptic number.

14542400000 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 14542400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18580646700).

14542400000 is an abundant number, since it is smaller than the sum of its proper divisors (22618893400).

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

14542400000 is an frugal number, since it uses more digits than its factorization.

14542400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 14542400000 its reverse (424541), we get a palindrome (14542824541).

The spelling of 14542400000 in words is "fourteen billion, five hundred forty-two million, four hundred thousand".