40441292976 has 320 divisors, whose sum is σ = 132184396800. Its totient is φ = 10392883200.

The previous prime is 40441292971. The next prime is 40441292989. The reversal of 40441292976 is 67929214404.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (40441292971) 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 63 ways as a sum of consecutive naturals, for example, 11291506 + ... + 11295086.

It is an arithmetic number, because the mean of its divisors is an integer number (413076240).

Almost surely, 2^40441292976 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 40441292976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66092198400).

40441292976 is an abundant number, since it is smaller than the sum of its proper divisors (91743103824).

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

40441292976 is a wasteful number, since it uses less digits than its factorization.

40441292976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 40441292976 in words is "forty billion, four hundred forty-one million, two hundred ninety-two thousand, nine hundred seventy-six".