41128275502080 has 1408 divisors, whose sum is σ = 161765707138560. Its totient is φ = 9970415566848.

The previous prime is 41128275502079. The next prime is 41128275502129. The reversal of 41128275502080 is 8020557282114.

41128275502080 is a `hidden beast` number, since 4 + 1 + 12 + 8 + 2 + 7 + 550 + 2 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 9752968132 + ... + 9752972348.

Almost surely, 2^{41128275502080} is an apocalyptic number.

41128275502080 is a gapful number since it is divisible by the number (40) 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 41128275502080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80882853569280).

41128275502080 is an abundant number, since it is smaller than the sum of its proper divisors (120637431636480).

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

41128275502080 is an equidigital number, since it uses as much as digits as its factorization.

41128275502080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 41128275502080 in words is "forty-one trillion, one hundred twenty-eight billion, two hundred seventy-five million, five hundred two thousand, eighty".