24013420234104 has 320 divisors, whose sum is σ = 70424717489280. Its totient is φ = 6822912096000.

The previous prime is 24013420234087. The next prime is 24013420234109. The reversal of 24013420234104 is 40143202431042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24013420234109) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8792902419 + ... + 8792905149.

It is an arithmetic number, because the mean of its divisors is an integer number (220077242154).

Almost surely, 2^{24013420234104} is an apocalyptic number.

24013420234104 is a gapful number since it is divisible by the number (24) 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 24013420234104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35212358744640).

24013420234104 is an abundant number, since it is smaller than the sum of its proper divisors (46411297255176).

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

24013420234104 is a wasteful number, since it uses less digits than its factorization.

24013420234104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 24013420234104 its reverse (40143202431042), we get a palindrome (64156622665146).

The spelling of 24013420234104 in words is "twenty-four trillion, thirteen billion, four hundred twenty million, two hundred thirty-four thousand, one hundred four".