41886106649856 has 720 divisors, whose sum is σ = 143517352750464. Its totient is φ = 11902406934528.

The previous prime is 41886106649851. The next prime is 41886106649857. The reversal of 41886106649856 is 65894660168814.

41886106649856 is a `hidden beast` number, since 4 + 1 + 8 + 86 + 1 + 0 + 6 + 6 + 498 + 56 = 666.

It is a super-2 number, since 2×41886106649856² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41886106649851) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37298402511 + ... + 37298403633.

Almost surely, 2^{41886106649856} 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 41886106649856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71758676375232).

41886106649856 is an abundant number, since it is smaller than the sum of its proper divisors (101631246100608).

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

41886106649856 is a wasteful number, since it uses less digits than its factorization.

41886106649856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 41886106649856 in words is "forty-one trillion, eight hundred eighty-six billion, one hundred six million, six hundred forty-nine thousand, eight hundred fifty-six".