18504041400 has 288 divisors, whose sum is σ = 67416258000. Its totient is φ = 4521277440.

The previous prime is 18504041389. The next prime is 18504041419. The reversal of 18504041400 is 414040581.

It is a happy number.

18504041400 is a `hidden beast` number, since 18 + 504 + 0 + 4 + 140 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3249756 + ... + 3255444.

Almost surely, 2^18504041400 is an apocalyptic number.

18504041400 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 18504041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33708129000).

18504041400 is an abundant number, since it is smaller than the sum of its proper divisors (48912216600).

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

18504041400 is a wasteful number, since it uses less digits than its factorization.

18504041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5863 (or 5851 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 18504041400 its reverse (414040581), we get a palindrome (18918081981).

The spelling of 18504041400 in words is "eighteen billion, five hundred four million, forty-one thousand, four hundred".