25382241440640 has 1152 divisors, whose sum is σ = 111954386325600. Its totient is φ = 5460353482752.

The previous prime is 25382241440603. The next prime is 25382241440659. The reversal of 25382241440640 is 4604414228352.

25382241440640 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 224 + 14 + 406 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 129450196 + ... + 129646124.

Almost surely, 2^{25382241440640} is an apocalyptic number.

25382241440640 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 25382241440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55977193162800).

25382241440640 is an abundant number, since it is smaller than the sum of its proper divisors (86572144884960).

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

25382241440640 is a wasteful number, since it uses less digits than its factorization.

25382241440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195994 (or 195963 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

Adding to 25382241440640 its reverse (4604414228352), we get a palindrome (29986655668992).

The spelling of 25382241440640 in words is "twenty-five trillion, three hundred eighty-two billion, two hundred forty-one million, four hundred forty thousand, six hundred forty".