41234557034160 has 960 divisors, whose sum is σ = 179770693939200. Its totient is φ = 8564729757696.

The previous prime is 41234557034159. The next prime is 41234557034287. The reversal of 41234557034160 is 6143075543214.

41234557034160 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 4 + 557 + 0 + 34 + 1 + 60 = 666.

41234557034160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66780121 + ... + 67394759.

It is an arithmetic number, because the mean of its divisors is an integer number (187261139520).

Almost surely, 2^{41234557034160} is an apocalyptic number.

41234557034160 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 41234557034160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89885346969600).

41234557034160 is an abundant number, since it is smaller than the sum of its proper divisors (138536136905040).

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

41234557034160 is a wasteful number, since it uses less digits than its factorization.

41234557034160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614720 (or 614702 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 41234557034160 in words is "forty-one trillion, two hundred thirty-four billion, five hundred fifty-seven million, thirty-four thousand, one hundred sixty".