40084400808800 has 72 divisors (see below), whose sum is σ = 97862819097456. Its totient is φ = 16032650135040.

The previous prime is 40084400808791. The next prime is 40084400808869. The reversal of 40084400808800 is 880800448004.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 9874982 + ... + 13329818.

It is an arithmetic number, because the mean of its divisors is an integer number (1359205820798).

Almost surely, 2^{40084400808800} is an apocalyptic number.

40084400808800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40084400808800 is an abundant number, since it is smaller than the sum of its proper divisors (57778418288656).

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

40084400808800 is a wasteful number, since it uses less digits than its factorization.

40084400808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469360 (or 3469347 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The spelling of 40084400808800 in words is "forty trillion, eighty-four billion, four hundred million, eight hundred eight thousand, eight hundred".