80041733456040 has 320 divisors, whose sum is σ = 284918407828560. Its totient is φ = 20084391936000.

The previous prime is 80041733456021. The next prime is 80041733456093. The reversal of 80041733456040 is 4065433714008.

80041733456040 is a `hidden beast` number, since 8 + 0 + 0 + 4 + 1 + 7 + 3 + 34 + 5 + 604 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1749709890756 + 78292023565284 = 1322766^2 + 8848278^2 .

It is a super-2 number, since 2×80041733456040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 248415040 + ... + 248737040.

Almost surely, 2^{80041733456040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80041733456040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142459203914280).

80041733456040 is an abundant number, since it is smaller than the sum of its proper divisors (204876674372520).

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

80041733456040 is a wasteful number, since it uses less digits than its factorization.

80041733456040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326554 (or 326541 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 80041733456040 in words is "eighty trillion, forty-one billion, seven hundred thirty-three million, four hundred fifty-six thousand, forty".