40411180960 has 192 divisors, whose sum is σ = 100946974464. Its totient is φ = 15267225600.

The previous prime is 40411180951. The next prime is 40411180969. The reversal of 40411180960 is 6908111404.

It is an interprime number because it is at equal distance from previous prime (40411180951) and next prime (40411180969).

It is not an unprimeable number, because it can be changed into a prime (40411180969) 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 31 ways as a sum of consecutive naturals, for example, 80340069 + ... + 80340571.

It is an arithmetic number, because the mean of its divisors is an integer number (525765492).

Almost surely, 2^40411180960 is an apocalyptic number.

40411180960 is a gapful number since it is divisible by the number (40) 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 40411180960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50473487232).

40411180960 is an abundant number, since it is smaller than the sum of its proper divisors (60535793504).

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

40411180960 is a wasteful number, since it uses less digits than its factorization.

40411180960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 40411180960 in words is "forty billion, four hundred eleven million, one hundred eighty thousand, nine hundred sixty".