41679707328 has 840 divisors, whose sum is σ = 152479979520. Its totient is φ = 11208637440.

The previous prime is 41679707327. The next prime is 41679707341. The reversal of 41679707328 is 82370797614.

41679707328 is a `hidden beast` number, since 416 + 79 + 70 + 73 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (41679707327) 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 119 ways as a sum of consecutive naturals, for example, 527591193 + ... + 527591271.

Almost surely, 2^41679707328 is an apocalyptic number.

41679707328 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 41679707328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76239989760).

41679707328 is an abundant number, since it is smaller than the sum of its proper divisors (110800272192).

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

41679707328 is a wasteful number, since it uses less digits than its factorization.

41679707328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 41679707328 in words is "forty-one billion, six hundred seventy-nine million, seven hundred seven thousand, three hundred twenty-eight".