41187368736 has 288 divisors, whose sum is σ = 122918206320. Its totient is φ = 13070204928.

The previous prime is 41187368723. The next prime is 41187368737. The reversal of 41187368736 is 63786378114.

It can be written as a sum of positive squares in 8 ways, for example, as 13815651600 + 27371717136 = 117540^2 + 165444^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (41187368737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129928450 + ... + 129928766.

Almost surely, 2^41187368736 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 41187368736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61459103160).

41187368736 is an abundant number, since it is smaller than the sum of its proper divisors (81730837584).

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

41187368736 is a wasteful number, since it uses less digits than its factorization.

41187368736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 585 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 41187368736 in words is "forty-one billion, one hundred eighty-seven million, three hundred sixty-eight thousand, seven hundred thirty-six".