40826832228 has 288 divisors, whose sum is σ = 132616673280. Its totient is φ = 10300815360.

The previous prime is 40826832199. The next prime is 40826832247. The reversal of 40826832228 is 82223862804.

40826832228 is a `hidden beast` number, since 40 + 8 + 268 + 322 + 28 = 666.

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 95 ways as a sum of consecutive naturals, for example, 9036226 + ... + 9040742.

It is an arithmetic number, because the mean of its divisors is an integer number (460474560).

Almost surely, 2^40826832228 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 40826832228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66308336640).

40826832228 is an abundant number, since it is smaller than the sum of its proper divisors (91789841052).

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

40826832228 is a wasteful number, since it uses less digits than its factorization.

40826832228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 40826832228 in words is "forty billion, eight hundred twenty-six million, eight hundred thirty-two thousand, two hundred twenty-eight".