24042400000 has 216 divisors, whose sum is σ = 61531639848. Its totient is φ = 9369600000.

The previous prime is 24042399973. The next prime is 24042400013. The reversal of 24042400000 is 424042.

It can be written as a sum of positive squares in 12 ways, for example, as 23908581376 + 133818624 = 154624^2 + 11568^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 32799634 + ... + 32800366.

It is an arithmetic number, because the mean of its divisors is an integer number (284868703).

Almost surely, 2^24042400000 is an apocalyptic number.

24042400000 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 24042400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30765819924).

24042400000 is an abundant number, since it is smaller than the sum of its proper divisors (37489239848).

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

24042400000 is an frugal number, since it uses more digits than its factorization.

24042400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 24042400000 its reverse (424042), we get a palindrome (24042824042).

The spelling of 24042400000 in words is "twenty-four billion, forty-two million, four hundred thousand".