25441322314452 has 96 divisors (see below), whose sum is σ = 66520065507840. Its totient is φ = 7499990920320.

The previous prime is 25441322314417. The next prime is 25441322314459.

25441322314452 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25441322314452² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25441322314459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32131423 + ... + 32913689.

It is an arithmetic number, because the mean of its divisors is an integer number (692917349040).

Almost surely, 2^{25441322314452} is an apocalyptic number.

25441322314452 is a gapful number since it is divisible by the number (22) 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 25441322314452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33260032753920).

25441322314452 is an abundant number, since it is smaller than the sum of its proper divisors (41078743193388).

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

25441322314452 is a wasteful number, since it uses less digits than its factorization.

25441322314452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788981 (or 788979 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 2544132 and 2314452, that added together give a palindrome (4858584).

The spelling of 25441322314452 in words is "twenty-five trillion, four hundred forty-one billion, three hundred twenty-two million, three hundred fourteen thousand, four hundred fifty-two".