24400042420 has 96 divisors (see below), whose sum is σ = 55924797600. Its totient is φ = 8888377344.

The previous prime is 24400042393. The next prime is 24400042423. The reversal of 24400042420 is 2424000442.

It can be written as a sum of positive squares in 16 ways, for example, as 22660485156 + 1739557264 = 150534^2 + 41708^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24400042391 and 24400042400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24400042423) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14276526 + ... + 14278234.

It is an arithmetic number, because the mean of its divisors is an integer number (582549975).

Almost surely, 2^24400042420 is an apocalyptic number.

24400042420 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 24400042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27962398800).

24400042420 is an abundant number, since it is smaller than the sum of its proper divisors (31524755180).

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

24400042420 is a wasteful number, since it uses less digits than its factorization.

24400042420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 24400042420 its reverse (2424000442), we get a palindrome (26824042862).

The spelling of 24400042420 in words is "twenty-four billion, four hundred million, forty-two thousand, four hundred twenty".