24420142320 has 320 divisors, whose sum is σ = 91855835136. Its totient is φ = 5239111680.

The previous prime is 24420142319. The next prime is 24420142333. The reversal of 24420142320 is 2324102442.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13050985 + ... + 13052855.

Almost surely, 2^24420142320 is an apocalyptic number.

24420142320 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 24420142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45927917568).

24420142320 is an abundant number, since it is smaller than the sum of its proper divisors (67435692816).

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

24420142320 is a wasteful number, since it uses less digits than its factorization.

24420142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 24420142320 its reverse (2324102442), we get a palindrome (26744244762).

The spelling of 24420142320 in words is "twenty-four billion, four hundred twenty million, one hundred forty-two thousand, three hundred twenty".