40084639088208 has 640 divisors, whose sum is σ = 124977220945920. Its totient is φ = 10910785536000.

The previous prime is 40084639088159. The next prime is 40084639088293. The reversal of 40084639088208 is 80288093648004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18549114648 + ... + 18549116808.

It is an arithmetic number, because the mean of its divisors is an integer number (195276907728).

Almost surely, 2^{40084639088208} is an apocalyptic number.

40084639088208 is a gapful number since it is divisible by the number (48) 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 40084639088208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62488610472960).

40084639088208 is an abundant number, since it is smaller than the sum of its proper divisors (84892581857712).

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

40084639088208 is a wasteful number, since it uses less digits than its factorization.

40084639088208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 60.

The spelling of 40084639088208 in words is "forty trillion, eighty-four billion, six hundred thirty-nine million, eighty-eight thousand, two hundred eight".