14540020000 has 480 divisors, whose sum is σ = 42086278080. Its totient is φ = 4892160000.

The previous prime is 14540019997. The next prime is 14540020031. The reversal of 14540020000 is 2004541.

It is a super-2 number, since 2×14540020000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 274339974 + ... + 274340026.

It is an arithmetic number, because the mean of its divisors is an integer number (87679746).

Almost surely, 2^14540020000 is an apocalyptic number.

14540020000 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 14540020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21043139040).

14540020000 is an abundant number, since it is smaller than the sum of its proper divisors (27546258080).

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

14540020000 is a wasteful number, since it uses less digits than its factorization.

14540020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 14540020000 its reverse (2004541), we get a palindrome (14542024541).

The spelling of 14540020000 in words is "fourteen billion, five hundred forty million, twenty thousand".