25412330634000 has 320 divisors, whose sum is σ = 87095340184320. Its totient is φ = 6356390400000.

The previous prime is 25412330633951. The next prime is 25412330634001. The reversal of 25412330634000 is 43603321452.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (25412330634001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10410460 + ... + 12617540.

It is an arithmetic number, because the mean of its divisors is an integer number (272172938076).

Almost surely, 2^{25412330634000} is an apocalyptic number.

25412330634000 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 25412330634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43547670092160).

25412330634000 is an abundant number, since it is smaller than the sum of its proper divisors (61683009550320).

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

25412330634000 is a wasteful number, since it uses less digits than its factorization.

25412330634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207227 (or 2207211 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 25412330634000 its reverse (43603321452), we get a palindrome (25455933955452).

The spelling of 25412330634000 in words is "twenty-five trillion, four hundred twelve billion, three hundred thirty million, six hundred thirty-four thousand".