25214404944640 has 216 divisors, whose sum is σ = 62456894703504. Its totient is φ = 9752690073600.

The previous prime is 25214404944593. The next prime is 25214404944643. The reversal of 25214404944640 is 4644940441252.

It is not an unprimeable number, because it can be changed into a prime (25214404944643) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1698733059 + ... + 1698747901.

It is an arithmetic number, because the mean of its divisors is an integer number (289152290294).

Almost surely, 2^{25214404944640} is an apocalyptic number.

25214404944640 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 25214404944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31228447351752).

25214404944640 is an abundant number, since it is smaller than the sum of its proper divisors (37242489758864).

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

25214404944640 is a wasteful number, since it uses less digits than its factorization.

25214404944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16307 (or 16262 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 49.

The spelling of 25214404944640 in words is "twenty-five trillion, two hundred fourteen billion, four hundred four million, nine hundred forty-four thousand, six hundred forty".