40315441664 has 80 divisors (see below), whose sum is σ = 81283299768. Its totient is φ = 19975667712.

The previous prime is 40315441613. The next prime is 40315441667. The reversal of 40315441664 is 46614451304.

It can be written as a sum of positive squares in 4 ways, for example, as 35724024064 + 4591417600 = 189008^2 + 67760^2 .

It is not an unprimeable number, because it can be changed into a prime (40315441667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31569794 + ... + 31571070.

Almost surely, 2^40315441664 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 40315441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40641649884).

40315441664 is an abundant number, since it is smaller than the sum of its proper divisors (40967858104).

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

40315441664 is a wasteful number, since it uses less digits than its factorization.

40315441664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

Adding to 40315441664 its reverse (46614451304), we get a palindrome (86929892968).

The spelling of 40315441664 in words is "forty billion, three hundred fifteen million, four hundred forty-one thousand, six hundred sixty-four".