41257742045184 has 936 divisors, whose sum is σ = 144919812430848. Its totient is φ = 11693352222720.

The previous prime is 41257742045183. The next prime is 41257742045207. The reversal of 41257742045184 is 48154024775214.

41257742045184 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 77 + 42 + 0 + 451 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41257742045184.

It is not an unprimeable number, because it can be changed into a prime (41257742045183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6193922814 + ... + 6193929474.

Almost surely, 2^{41257742045184} 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 41257742045184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72459906215424).

41257742045184 is an abundant number, since it is smaller than the sum of its proper divisors (103662070385664).

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

41257742045184 is an equidigital number, since it uses as much as digits as its factorization.

41257742045184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6841 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 41257742045184 in words is "forty-one trillion, two hundred fifty-seven billion, seven hundred forty-two million, forty-five thousand, one hundred eighty-four".