25220101344240 has 320 divisors, whose sum is σ = 89931783997440. Its totient is φ = 5782302213120.

The previous prime is 25220101344209. The next prime is 25220101344257. The reversal of 25220101344240 is 4244310102252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25220101344198 and 25220101344207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29015647 + ... + 29872193.

It is an arithmetic number, because the mean of its divisors is an integer number (281036824992).

Almost surely, 2^{25220101344240} is an apocalyptic number.

25220101344240 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 25220101344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44965891998720).

25220101344240 is an abundant number, since it is smaller than the sum of its proper divisors (64711682653200).

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

25220101344240 is a wasteful number, since it uses less digits than its factorization.

25220101344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857180 (or 857174 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 25220101344240 its reverse (4244310102252), we get a palindrome (29464411446492).

The spelling of 25220101344240 in words is "twenty-five trillion, two hundred twenty billion, one hundred one million, three hundred forty-four thousand, two hundred forty".