40301659728 has 240 divisors, whose sum is σ = 128297205120. Its totient is φ = 12102773760.

The previous prime is 40301659721. The next prime is 40301659747. The reversal of 40301659728 is 82795610304.

40301659728 is a `hidden beast` number, since 4 + 0 + 30 + 1 + 6 + 597 + 28 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40301659721) 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 47 ways as a sum of consecutive naturals, for example, 5903325 + ... + 5910147.

It is an arithmetic number, because the mean of its divisors is an integer number (534571688).

It is a 1-persistent number, because it is pandigital, but 2⋅40301659728 = 80603319456 is not.

Almost surely, 2^40301659728 is an apocalyptic number.

40301659728 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 40301659728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64148602560).

40301659728 is an abundant number, since it is smaller than the sum of its proper divisors (87995545392).

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

40301659728 is a wasteful number, since it uses less digits than its factorization.

40301659728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 40301659728 in words is "forty billion, three hundred one million, six hundred fifty-nine thousand, seven hundred twenty-eight".