8481925693440 has 1224 divisors, whose sum is σ = 32158506826368. Its totient is φ = 2065610833920.

The previous prime is 8481925693427. The next prime is 8481925693441. The reversal of 8481925693440 is 443965291848.

8481925693440 is a `hidden beast` number, since 8 + 4 + 81 + 9 + 25 + 6 + 93 + 440 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8481925693441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33003601792 + ... + 33003602048.

Almost surely, 2^{8481925693440} is an apocalyptic number.

8481925693440 is a gapful number since it is divisible by the number (80) 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 8481925693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16079253413184).

8481925693440 is an abundant number, since it is smaller than the sum of its proper divisors (23676581132928).

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

8481925693440 is a wasteful number, since it uses less digits than its factorization.

8481925693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 8481925693440 in words is "eight trillion, four hundred eighty-one billion, nine hundred twenty-five million, six hundred ninety-three thousand, four hundred forty".