4040675328 has 312 divisors, whose sum is σ = 12328175808. Its totient is φ = 1170735104.

The previous prime is 4040675323. The next prime is 4040675339. The reversal of 4040675328 is 8235760404.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040675323) 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 23 ways as a sum of consecutive naturals, for example, 139333618 + ... + 139333646.

It is an arithmetic number, because the mean of its divisors is an integer number (39513384).

Almost surely, 2^4040675328 is an apocalyptic number.

4040675328 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 4040675328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6164087904).

4040675328 is an abundant number, since it is smaller than the sum of its proper divisors (8287500480).

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

4040675328 is a wasteful number, since it uses less digits than its factorization.

4040675328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 4040675328 is about 63566.3065467862. The cubic root of 4040675328 is about 1592.7635874663.

The spelling of 4040675328 in words is "four billion, forty million, six hundred seventy-five thousand, three hundred twenty-eight".