40644653684544 has 1120 divisors, whose sum is σ = 151018813024000. Its totient is φ = 10719469103616.

The previous prime is 40644653684543. The next prime is 40644653684549. The reversal of 40644653684544 is 44548635644604.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

40644653684544 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 4 + 6 + 5 + 3 + 6 + 84 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 40644653684544 = 8372³ + 34216³ = 22932³ + 30576³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40644653684543) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3126511821882 + ... + 3126511821894.

Almost surely, 2^{40644653684544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40644653684544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75509406512000).

40644653684544 is an abundant number, since it is smaller than the sum of its proper divisors (110374159339456).

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

40644653684544 is an frugal number, since it uses more digits than its factorization.

40644653684544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 63.

The spelling of 40644653684544 in words is "forty trillion, six hundred forty-four billion, six hundred fifty-three million, six hundred eighty-four thousand, five hundred forty-four".