40836576648000 has 1344 divisors, whose sum is σ = 157846960147968. Its totient is φ = 9112404787200.

The previous prime is 40836576647957. The next prime is 40836576648041. The reversal of 40836576648000 is 84667563804.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130468295844 + ... + 130468296156.

It is an arithmetic number, because the mean of its divisors is an integer number (117445654872).

Almost surely, 2^{40836576648000} is an apocalyptic number.

40836576648000 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 40836576648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78923480073984).

40836576648000 is an abundant number, since it is smaller than the sum of its proper divisors (117010383499968).

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

40836576648000 is a wasteful number, since it uses less digits than its factorization.

40836576648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 40836576648000 in words is "forty trillion, eight hundred thirty-six billion, five hundred seventy-six million, six hundred forty-eight thousand".