24400020202420 has 24 divisors (see below), whose sum is σ = 53006940441000. Its totient is φ = 9423456077952.

The previous prime is 24400020202399. The next prime is 24400020202429. The reversal of 24400020202420 is 2420202000442.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18921653136 + 24381098549284 = 137556^2 + 4937722^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24400020202391 and 24400020202400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24400020202429) 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 7 ways as a sum of consecutive naturals, for example, 21034499595 + ... + 21034500754.

It is an arithmetic number, because the mean of its divisors is an integer number (2208622518375).

Almost surely, 2^{24400020202420} is an apocalyptic number.

24400020202420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24400020202420 is an abundant number, since it is smaller than the sum of its proper divisors (28606920238580).

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

24400020202420 is a wasteful number, since it uses less digits than its factorization.

24400020202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42069000387 (or 42069000385 counting only the distinct ones).

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

Adding to 24400020202420 its reverse (2420202000442), we get a palindrome (26820222202862).

The spelling of 24400020202420 in words is "twenty-four trillion, four hundred billion, twenty million, two hundred two thousand, four hundred twenty".