25042112507040 has 384 divisors, whose sum is σ = 80735815480320. Its totient is φ = 6522971455488.

The previous prime is 25042112507033. The next prime is 25042112507099. The reversal of 25042112507040 is 4070521124052.

It is a junction number, because it is equal to n+sod(n) for n = 25042112506992 and 25042112507010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4865377747 + ... + 4865382893.

It is an arithmetic number, because the mean of its divisors is an integer number (210249519480).

Almost surely, 2^{25042112507040} is an apocalyptic number.

25042112507040 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 25042112507040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40367907740160).

25042112507040 is an abundant number, since it is smaller than the sum of its proper divisors (55693702973280).

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

25042112507040 is a wasteful number, since it uses less digits than its factorization.

25042112507040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6596 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The spelling of 25042112507040 in words is "twenty-five trillion, forty-two billion, one hundred twelve million, five hundred seven thousand, forty".