24142152145440 has 288 divisors, whose sum is σ = 88668084879360. Its totient is φ = 5505459757056.

The previous prime is 24142152145417. The next prime is 24142152145487. The reversal of 24142152145440 is 4454125124142.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8998881 + ... + 11369439.

It is an arithmetic number, because the mean of its divisors is an integer number (307875294720).

Almost surely, 2^{24142152145440} is an apocalyptic number.

24142152145440 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 24142152145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44334042439680).

24142152145440 is an abundant number, since it is smaller than the sum of its proper divisors (64525932733920).

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

24142152145440 is a wasteful number, since it uses less digits than its factorization.

24142152145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371024 (or 2371009 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 39.

Adding to 24142152145440 its reverse (4454125124142), we get a palindrome (28596277269582).

The spelling of 24142152145440 in words is "twenty-four trillion, one hundred forty-two billion, one hundred fifty-two million, one hundred forty-five thousand, four hundred forty".