40447105664 has 192 divisors, whose sum is σ = 97236126720. Its totient is φ = 16692480000.

The previous prime is 40447105651. The next prime is 40447105667. The reversal of 40447105664 is 46650174404.

It is not an unprimeable number, because it can be changed into a prime (40447105667) 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 23 ways as a sum of consecutive naturals, for example, 53857289 + ... + 53858039.

It is an arithmetic number, because the mean of its divisors is an integer number (506438160).

Almost surely, 2^40447105664 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 40447105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48618063360).

40447105664 is an abundant number, since it is smaller than the sum of its proper divisors (56789021056).

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

40447105664 is a wasteful number, since it uses less digits than its factorization.

40447105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 40447105664 in words is "forty billion, four hundred forty-seven million, one hundred five thousand, six hundred sixty-four".