25243074937440 has 288 divisors, whose sum is σ = 90124511742720. Its totient is φ = 6421821170688.

The previous prime is 25243074937439. The next prime is 25243074937481. The reversal of 25243074937440 is 4473947034252.

25243074937440 is a `hidden beast` number, since 2 + 5 + 2 + 43 + 0 + 7 + 493 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×25243074937440² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11546979 + ... + 13557981.

It is an arithmetic number, because the mean of its divisors is an integer number (312932332440).

Almost surely, 2^{25243074937440} is an apocalyptic number.

25243074937440 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 25243074937440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45062255871360).

25243074937440 is an abundant number, since it is smaller than the sum of its proper divisors (64881436805280).

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

25243074937440 is a wasteful number, since it uses less digits than its factorization.

25243074937440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011426 (or 2011415 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 25243074937440 in words is "twenty-five trillion, two hundred forty-three billion, seventy-four million, nine hundred thirty-seven thousand, four hundred forty".