24024420420 has 768 divisors, whose sum is σ = 97813094400. Its totient is φ = 4240097280.

The previous prime is 24024420419. The next prime is 24024420463. The reversal of 24024420420 is 2402442042.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 42221896 + ... + 42222464.

It is an arithmetic number, because the mean of its divisors is an integer number (127360800).

Almost surely, 2^24024420420 is an apocalyptic number.

24024420420 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 24024420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48906547200).

24024420420 is an abundant number, since it is smaller than the sum of its proper divisors (73788673980).

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

24024420420 is a wasteful number, since it uses less digits than its factorization.

24024420420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 24024420420 its reverse (2402442042), we get a palindrome (26426862462).

It can be divided in two parts, 24024 and 420420, that added together give a palindrome (444444).

The spelling of 24024420420 in words is "twenty-four billion, twenty-four million, four hundred twenty thousand, four hundred twenty".