41686741152 has 384 divisors, whose sum is σ = 146903500800. Its totient is φ = 11234764800.

The previous prime is 41686741091. The next prime is 41686741153. The reversal of 41686741152 is 25114768614.

41686741152 is a `hidden beast` number, since 416 + 86 + 7 + 4 + 1 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41686741098 and 41686741107.

It is not an unprimeable number, because it can be changed into a prime (41686741153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32289627 + ... + 32290917.

It is an arithmetic number, because the mean of its divisors is an integer number (382561200).

Almost surely, 2^41686741152 is an apocalyptic number.

41686741152 is a gapful number since it is divisible by the number (42) 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 41686741152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73451750400).

41686741152 is an abundant number, since it is smaller than the sum of its proper divisors (105216759648).

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

41686741152 is a wasteful number, since it uses less digits than its factorization.

41686741152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1603 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 41686741152 in words is "forty-one billion, six hundred eighty-six million, seven hundred forty-one thousand, one hundred fifty-two".