41128135340688 has 2160 divisors, whose sum is σ = 148395837058560. Its totient is φ = 10517830041600.

The previous prime is 41128135340681. The next prime is 41128135340689. The reversal of 41128135340688 is 88604353182114.

It is a happy number.

41128135340688 is a `hidden beast` number, since 4 + 1 + 1 + 28 + 1 + 3 + 534 + 0 + 6 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (41128135340681) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 563399114220 + ... + 563399114292.

It is an arithmetic number, because the mean of its divisors is an integer number (68701776416).

Almost surely, 2^{41128135340688} is an apocalyptic number.

41128135340688 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 41128135340688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74197918529280).

41128135340688 is an abundant number, since it is smaller than the sum of its proper divisors (107267701717872).

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

41128135340688 is a wasteful number, since it uses less digits than its factorization.

41128135340688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 41128135340688 in words is "forty-one trillion, one hundred twenty-eight billion, one hundred thirty-five million, three hundred forty thousand, six hundred eighty-eight".