40689224665824 has 768 divisors, whose sum is σ = 135477938534400. Its totient is φ = 10428680503296.

The previous prime is 40689224665801. The next prime is 40689224665829. The reversal of 40689224665824 is 42856642298604.

It is a super-2 number, since 2×40689224665824² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40689224665829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4100491327 + ... + 4100501249.

It is an arithmetic number, because the mean of its divisors is an integer number (176403565800).

Almost surely, 2^{40689224665824} 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 40689224665824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67738969267200).

40689224665824 is an abundant number, since it is smaller than the sum of its proper divisors (94788713868576).

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

40689224665824 is a wasteful number, since it uses less digits than its factorization.

40689224665824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10195 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 66.

The spelling of 40689224665824 in words is "forty trillion, six hundred eighty-nine billion, two hundred twenty-four million, six hundred sixty-five thousand, eight hundred twenty-four".