40544509824 has 640 divisors, whose sum is σ = 151707864000. Its totient is φ = 10680864768.

The previous prime is 40544509813. The next prime is 40544509861. The reversal of 40544509824 is 42890544504.

It is a happy number.

40544509824 is a `hidden beast` number, since 40 + 54 + 450 + 98 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40544509824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46230474 + ... + 46231350.

Almost surely, 2^40544509824 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 40544509824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75853932000).

40544509824 is an abundant number, since it is smaller than the sum of its proper divisors (111163354176).

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

40544509824 is an equidigital number, since it uses as much as digits as its factorization.

40544509824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 40544509824 in words is "forty billion, five hundred forty-four million, five hundred nine thousand, eight hundred twenty-four".