41913687816 has 1152 divisors, whose sum is σ = 171285528960. Its totient is φ = 9405849600.

The previous prime is 41913687793. The next prime is 41913687817. The reversal of 41913687816 is 61878631914.

41913687816 is a `hidden beast` number, since 419 + 136 + 87 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41913687817) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 231567246 + ... + 231567426.

It is an arithmetic number, because the mean of its divisors is an integer number (148685355).

Almost surely, 2^41913687816 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 41913687816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85642764480).

41913687816 is an abundant number, since it is smaller than the sum of its proper divisors (129371841144).

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

41913687816 is a wasteful number, since it uses less digits than its factorization.

41913687816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 234 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 41913687816 in words is "forty-one billion, nine hundred thirteen million, six hundred eighty-seven thousand, eight hundred sixteen".