41050126656 has 336 divisors, whose sum is σ = 149111134848. Its totient is φ = 10486886400.

The previous prime is 41050126609. The next prime is 41050126679. The reversal of 41050126656 is 65662105014.

41050126656 is a `hidden beast` number, since 41 + 0 + 501 + 2 + 66 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×41050126656² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41050126656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2697886 + ... + 2713058.

Almost surely, 2^41050126656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41050126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74555567424).

41050126656 is an abundant number, since it is smaller than the sum of its proper divisors (108061008192).

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

41050126656 is a wasteful number, since it uses less digits than its factorization.

41050126656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15270 (or 15257 counting only the distinct ones).

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

The spelling of 41050126656 in words is "forty-one billion, fifty million, one hundred twenty-six thousand, six hundred fifty-six".