41486334336000 has 1056 divisors, whose sum is σ = 159352748081280. Its totient is φ = 10342563840000.

The previous prime is 41486334335989. The next prime is 41486334336001. The reversal of 41486334336000 is 63343368414.

41486334336000 is a `hidden beast` number, since 4 + 1 + 4 + 8 + 6 + 3 + 3 + 4 + 33 + 600 + 0 = 666.

It is a super-2 number, since 2×41486334336000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41486334336001) 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 95 ways as a sum of consecutive naturals, for example, 2957176986 + ... + 2957191014.

Almost surely, 2^{41486334336000} is an apocalyptic number.

41486334336000 is a gapful number since it is divisible by the number (40) 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 41486334336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79676374040640).

41486334336000 is an abundant number, since it is smaller than the sum of its proper divisors (117866413745280).

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

41486334336000 is a wasteful number, since it uses less digits than its factorization.

41486334336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14238 (or 14207 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 41486334336000 in words is "forty-one trillion, four hundred eighty-six billion, three hundred thirty-four million, three hundred thirty-six thousand".