20241181440 has 216 divisors, whose sum is σ = 70691192208. Its totient is φ = 5346877440.

The previous prime is 20241181397. The next prime is 20241181451. The reversal of 20241181440 is 4418114202.

20241181440 is a `hidden beast` number, since 2 + 0 + 2 + 41 + 181 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1224430 + ... + 1240850.

It is an arithmetic number, because the mean of its divisors is an integer number (327274038).

Almost surely, 2^20241181440 is an apocalyptic number.

20241181440 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 20241181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35345596104).

20241181440 is an abundant number, since it is smaller than the sum of its proper divisors (50450010768).

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

20241181440 is a wasteful number, since it uses less digits than its factorization.

20241181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16555 (or 16538 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 20241181440 its reverse (4418114202), we get a palindrome (24659295642).

The spelling of 20241181440 in words is "twenty billion, two hundred forty-one million, one hundred eighty-one thousand, four hundred forty".