40864065318720 has 1008 divisors, whose sum is σ = 171766407271680. Its totient is φ = 8704801603584.

The previous prime is 40864065318719. The next prime is 40864065318749. The reversal of 40864065318720 is 2781356046804.

It is a happy number.

40864065318720 is a `hidden beast` number, since 4 + 0 + 8 + 6 + 4 + 0 + 6 + 531 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×40864065318720² (a number of 28 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 3635910861 + ... + 3635922099.

Almost surely, 2^{40864065318720} is an apocalyptic number.

40864065318720 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 40864065318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85883203635840).

40864065318720 is an abundant number, since it is smaller than the sum of its proper divisors (130902341952960).

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

40864065318720 is a wasteful number, since it uses less digits than its factorization.

40864065318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11492 (or 11376 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 40864065318720 in words is "forty trillion, eight hundred sixty-four billion, sixty-five million, three hundred eighteen thousand, seven hundred twenty".