41029522560000 has 1980 divisors, whose sum is σ = 162158520060108. Its totient is φ = 9983361024000.

The previous prime is 41029522559989. The next prime is 41029522560109. The reversal of 41029522560000 is 6522592014.

41029522560000 is a `hidden beast` number, since 4 + 1 + 0 + 2 + 95 + 2 + 2 + 560 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 30 ways, for example, as 12778851861504 + 28250670698496 = 3574752^2 + 5315136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 109998719814 + ... + 109998720186.

Almost surely, 2^{41029522560000} is an apocalyptic number.

41029522560000 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 41029522560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81079260030054).

41029522560000 is an abundant number, since it is smaller than the sum of its proper divisors (121128997500108).

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

41029522560000 is a wasteful number, since it uses less digits than its factorization.

41029522560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 41029522560000 in words is "forty-one trillion, twenty-nine billion, five hundred twenty-two million, five hundred sixty thousand".