40056704064 has 448 divisors, whose sum is σ = 132481198080. Its totient is φ = 11784683520.

The previous prime is 40056704047. The next prime is 40056704089. The reversal of 40056704064 is 46040765004.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67548952 + ... + 67549544.

It is an arithmetic number, because the mean of its divisors is an integer number (295716960).

Almost surely, 2^40056704064 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 40056704064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66240599040).

40056704064 is an abundant number, since it is smaller than the sum of its proper divisors (92424494016).

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

40056704064 is a wasteful number, since it uses less digits than its factorization.

40056704064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 40056704064 in words is "forty billion, fifty-six million, seven hundred four thousand, sixty-four".