40806086420800 has 84 divisors (see below), whose sum is σ = 100436958810720. Its totient is φ = 16317804459520.

The previous prime is 40806086420797. The next prime is 40806086420837. The reversal of 40806086420800 is 802468060804.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2027691 + ... + 9258709.

It is an arithmetic number, because the mean of its divisors is an integer number (1195678081080).

Almost surely, 2^{40806086420800} is an apocalyptic number.

40806086420800 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 40806086420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50218479405360).

40806086420800 is an abundant number, since it is smaller than the sum of its proper divisors (59630872389920).

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

40806086420800 is a wasteful number, since it uses less digits than its factorization.

40806086420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7234568 (or 7234553 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 40806086420800 in words is "forty trillion, eight hundred six billion, eighty-six million, four hundred twenty thousand, eight hundred".