40899443328 has 192 divisors, whose sum is σ = 121973833800. Its totient is φ = 13138944000.

The previous prime is 40899443309. The next prime is 40899443329. The reversal of 40899443328 is 82334499804.

40899443328 is a `hidden beast` number, since 40 + 89 + 94 + 433 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24208870464 + 16690572864 = 155592^2 + 129192^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (40899443329) 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 23 ways as a sum of consecutive naturals, for example, 31436278 + ... + 31437578.

Almost surely, 2^40899443328 is an apocalyptic number.

40899443328 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 40899443328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60986916900).

40899443328 is an abundant number, since it is smaller than the sum of its proper divisors (81074390472).

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

40899443328 is a wasteful number, since it uses less digits than its factorization.

40899443328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 40899443328 in words is "forty billion, eight hundred ninety-nine million, four hundred forty-three thousand, three hundred twenty-eight".