25415124240000 has 640 divisors, whose sum is σ = 92325186233280. Its totient is φ = 6141358080000.

The previous prime is 25415124239971. The next prime is 25415124240013. The reversal of 25415124240000 is 4242151452.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a self number, because there is not a number n which added to its sum of digits gives 25415124240000.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 826304622 + ... + 826335378.

Almost surely, 2^{25415124240000} is an apocalyptic number.

25415124240000 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 25415124240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46162593116640).

25415124240000 is an abundant number, since it is smaller than the sum of its proper divisors (66910061993280).

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

25415124240000 is a wasteful number, since it uses less digits than its factorization.

25415124240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31118 (or 31091 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 25415124240000 its reverse (4242151452), we get a palindrome (25419366391452).

The spelling of 25415124240000 in words is "twenty-five trillion, four hundred fifteen billion, one hundred twenty-four million, two hundred forty thousand".