41318677049328 has 480 divisors, whose sum is σ = 140563661921280. Its totient is φ = 11078077570560.

The previous prime is 41318677049311. The next prime is 41318677049329. The reversal of 41318677049328 is 82394077681314.

41318677049328 is a `hidden beast` number, since 4 + 1 + 3 + 18 + 67 + 70 + 493 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41318677049329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3451558383 + ... + 3451570353.

It is an arithmetic number, because the mean of its divisors is an integer number (292840962336).

Almost surely, 2^{41318677049328} is an apocalyptic number.

41318677049328 is a gapful number since it is divisible by the number (48) 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 41318677049328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70281830960640).

41318677049328 is an abundant number, since it is smaller than the sum of its proper divisors (99244984871952).

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

41318677049328 is a wasteful number, since it uses less digits than its factorization.

41318677049328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12174 (or 12059 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 41318677049328 in words is "forty-one trillion, three hundred eighteen billion, six hundred seventy-seven million, forty-nine thousand, three hundred twenty-eight".