41630318136 has 288 divisors, whose sum is σ = 129898248480. Its totient is φ = 12012802560.

The previous prime is 41630318111. The next prime is 41630318137. The reversal of 41630318136 is 63181303614.

41630318136 is a `hidden beast` number, since 4 + 1 + 630 + 3 + 1 + 8 + 13 + 6 = 666.

41630318136 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41630318136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41630318137) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74739970 + ... + 74740526.

It is an arithmetic number, because the mean of its divisors is an integer number (451035585).

Almost surely, 2^41630318136 is an apocalyptic number.

41630318136 is a gapful number since it is divisible by the number (46) 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 41630318136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64949124240).

41630318136 is an abundant number, since it is smaller than the sum of its proper divisors (88267930344).

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

41630318136 is a wasteful number, since it uses less digits than its factorization.

41630318136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 41630318136 in words is "forty-one billion, six hundred thirty million, three hundred eighteen thousand, one hundred thirty-six".