40333428256 has 96 divisors (see below), whose sum is σ = 88920115200. Its totient is φ = 17851680000.

The previous prime is 40333428253. The next prime is 40333428271. The reversal of 40333428256 is 65282433304.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40333428253) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3286131 + ... + 3298381.

It is an arithmetic number, because the mean of its divisors is an integer number (926251200).

Almost surely, 2^40333428256 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 40333428256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44460057600).

40333428256 is an abundant number, since it is smaller than the sum of its proper divisors (48586686944).

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

40333428256 is a wasteful number, since it uses less digits than its factorization.

40333428256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12518 (or 12510 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 40333428256 in words is "forty billion, three hundred thirty-three million, four hundred twenty-eight thousand, two hundred fifty-six".