40938977664 has 256 divisors, whose sum is σ = 133153574400. Its totient is φ = 12303083520.

The previous prime is 40938977663. The next prime is 40938977683. The reversal of 40938977664 is 46677983904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40938977663) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1921309 + ... + 1942499.

It is an arithmetic number, because the mean of its divisors is an integer number (520131150).

Almost surely, 2^40938977664 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 40938977664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66576787200).

40938977664 is an abundant number, since it is smaller than the sum of its proper divisors (92214596736).

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

40938977664 is a wasteful number, since it uses less digits than its factorization.

40938977664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21270 (or 21252 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 40938977664 in words is "forty billion, nine hundred thirty-eight million, nine hundred seventy-seven thousand, six hundred sixty-four".