40941817728 has 512 divisors, whose sum is σ = 135918182400. Its totient is φ = 10659962880.

The previous prime is 40941817717. The next prime is 40941817733. The reversal of 40941817728 is 82771814904.

It is a congruent number.

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, 226197798 + ... + 226197978.

It is an arithmetic number, because the mean of its divisors is an integer number (265465200).

Almost surely, 2^40941817728 is an apocalyptic number.

40941817728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40941817728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67959091200).

40941817728 is an abundant number, since it is smaller than the sum of its proper divisors (94976364672).

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

40941817728 is a wasteful number, since it uses less digits than its factorization.

40941817728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 40941817728 in words is "forty billion, nine hundred forty-one million, eight hundred seventeen thousand, seven hundred twenty-eight".