40834641358080 has 216 divisors, whose sum is σ = 141302799309672. Its totient is φ = 10887758364672.

The previous prime is 40834641358061. The next prime is 40834641358087. The reversal of 40834641358080 is 8085314643804.

It is a happy number.

40834641358080 is a `hidden beast` number, since 4 + 0 + 8 + 3 + 46 + 4 + 13 + 580 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25732650525696 + 15101990832384 = 5072736^2 + 3886128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40834641358087) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 85898002 + ... + 86372078.

Almost surely, 2^{40834641358080} is an apocalyptic number.

40834641358080 is a gapful number since it is divisible by the number (40) 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 40834641358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70651399654836).

40834641358080 is an abundant number, since it is smaller than the sum of its proper divisors (100468157951592).

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

40834641358080 is a wasteful number, since it uses less digits than its factorization.

40834641358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481581 (or 481564 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 40834641358080 in words is "forty trillion, eight hundred thirty-four billion, six hundred forty-one million, three hundred fifty-eight thousand, eighty".