8254921933440 has 1728 divisors, whose sum is σ = 37338794405640. Its totient is φ = 1665580105728.

The previous prime is 8254921933421. The next prime is 8254921933477. The reversal of 8254921933440 is 443391294528.

It is a happy number.

8254921933440 is a `hidden beast` number, since 8 + 2 + 5 + 4 + 9 + 2 + 193 + 3 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3284126830656 + 4970795102784 = 1812216^2 + 2229528^2 .

It is a super-2 number, since 2×8254921933440² (a number of 27 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 1940962354 + ... + 1940966606.

Almost surely, 2^{8254921933440} is an apocalyptic number.

8254921933440 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 8254921933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18669397202820).

8254921933440 is an abundant number, since it is smaller than the sum of its proper divisors (29083872472200).

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

8254921933440 is a wasteful number, since it uses less digits than its factorization.

8254921933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 8254921933440 in words is "eight trillion, two hundred fifty-four billion, nine hundred twenty-one million, nine hundred thirty-three thousand, four hundred forty".