40536793144512 has 672 divisors, whose sum is σ = 138458644047360. Its totient is φ = 11519030476800.

The previous prime is 40536793144501. The next prime is 40536793144537. The reversal of 40536793144512 is 21544139763504.

40536793144512 is a `hidden beast` number, since 4 + 0 + 5 + 36 + 7 + 93 + 1 + 4 + 4 + 512 = 666.

40536793144512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17330821039 + ... + 17330823377.

It is an arithmetic number, because the mean of its divisors is an integer number (206039648880).

Almost surely, 2^{40536793144512} is an apocalyptic number.

40536793144512 is a gapful number since it is divisible by the number (42) 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 40536793144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69229322023680).

40536793144512 is an abundant number, since it is smaller than the sum of its proper divisors (97921850902848).

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

40536793144512 is a wasteful number, since it uses less digits than its factorization.

40536793144512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 40536793144512 in words is "forty trillion, five hundred thirty-six billion, seven hundred ninety-three million, one hundred forty-four thousand, five hundred twelve".