8254045301040 has 1600 divisors, whose sum is σ = 38168562769920. Its totient is φ = 1602478080000.

The previous prime is 8254045300987. The next prime is 8254045301077. The reversal of 8254045301040 is 401035404528.

It is a happy number.

8254045301040 is a `hidden beast` number, since 8 + 2 + 540 + 4 + 5 + 3 + 0 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8254045300986 and 8254045301004.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 448555840 + ... + 448574240.

Almost surely, 2^{8254045301040} is an apocalyptic number.

8254045301040 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 8254045301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19084281384960).

8254045301040 is an abundant number, since it is smaller than the sum of its proper divisors (29914517468880).

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

8254045301040 is a wasteful number, since it uses less digits than its factorization.

8254045301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18504 (or 18489 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 8254045301040 in words is "eight trillion, two hundred fifty-four billion, forty-five million, three hundred one thousand, forty".