25442204071040 has 1024 divisors, whose sum is σ = 69355560960000. Its totient is φ = 8884138475520.

The previous prime is 25442204071013. The next prime is 25442204071073. The reversal of 25442204071040 is 4017040224452.

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 127 ways as a sum of consecutive naturals, for example, 183037439291 + ... + 183037439429.

It is an arithmetic number, because the mean of its divisors is an integer number (67730040000).

Almost surely, 2^{25442204071040} is an apocalyptic number.

25442204071040 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 25442204071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34677780480000).

25442204071040 is an abundant number, since it is smaller than the sum of its proper divisors (43913356888960).

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

25442204071040 is a wasteful number, since it uses less digits than its factorization.

25442204071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 35.

Adding to 25442204071040 its reverse (4017040224452), we get a palindrome (29459244295492).

The spelling of 25442204071040 in words is "twenty-five trillion, four hundred forty-two billion, two hundred four million, seventy-one thousand, forty".