24401412420 has 192 divisors, whose sum is σ = 85296347136. Its totient is φ = 5063685120.

The previous prime is 24401412419. The next prime is 24401412467. The reversal of 24401412420 is 2421410442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3956259 + ... + 3962421.

It is an arithmetic number, because the mean of its divisors is an integer number (444251808).

Almost surely, 2^24401412420 is an apocalyptic number.

24401412420 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 24401412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42648173568).

24401412420 is an abundant number, since it is smaller than the sum of its proper divisors (60894934716).

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

24401412420 is a wasteful number, since it uses less digits than its factorization.

24401412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7050 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 24401412420 its reverse (2421410442), we get a palindrome (26822822862).

The spelling of 24401412420 in words is "twenty-four billion, four hundred one million, four hundred twelve thousand, four hundred twenty".