18040114800 has 480 divisors, whose sum is σ = 66490744320. Its totient is φ = 4642560000.

The previous prime is 18040114769. The next prime is 18040114801. The reversal of 18040114800 is 841104081.

18040114800 is a `hidden beast` number, since 180 + 4 + 0 + 1 + 1 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18040114801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58006645 + ... + 58006955.

It is an arithmetic number, because the mean of its divisors is an integer number (138522384).

Almost surely, 2^18040114800 is an apocalyptic number.

18040114800 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 18040114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33245372160).

18040114800 is an abundant number, since it is smaller than the sum of its proper divisors (48450629520).

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

18040114800 is a wasteful number, since it uses less digits than its factorization.

18040114800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 18040114800 its reverse (841104081), we get a palindrome (18881218881).

The spelling of 18040114800 in words is "eighteen billion, forty million, one hundred fourteen thousand, eight hundred".