23201418240 has 1056 divisors, whose sum is σ = 108153916416. Its totient is φ = 4441374720.

The previous prime is 23201418239. The next prime is 23201418293. The reversal of 23201418240 is 4281410232.

23201418240 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 1 + 418 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46125829 + ... + 46126331.

Almost surely, 2^23201418240 is an apocalyptic number.

23201418240 is a gapful number since it is divisible by the number (20) 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 23201418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54076958208).

23201418240 is an abundant number, since it is smaller than the sum of its proper divisors (84952498176).

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

23201418240 is a wasteful number, since it uses less digits than its factorization.

23201418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 23201418240 its reverse (4281410232), we get a palindrome (27482828472).

The spelling of 23201418240 in words is "twenty-three billion, two hundred one million, four hundred eighteen thousand, two hundred forty".