41537818760256 has 945 divisors, whose sum is σ = 150704204905059. Its totient is φ = 10906769083392.

The previous prime is 41537818760233. The next prime is 41537818760303. The reversal of 41537818760256 is 65206781873514.

It is a happy number.

The square root of 41537818760256 is 6444984.

It is a perfect power (a square), and thus also a powerful number.

41537818760256 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 7 + 8 + 18 + 7 + 602 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20595114017856 + 20942704742400 = 4538184^2 + 4576320^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 41537818760193 and 41537818760202.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 182985985615 + ... + 182985985841.

Almost surely, 2^{41537818760256} is an apocalyptic number.

41537818760256 is the 6444984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41537818760256

41537818760256 is an abundant number, since it is smaller than the sum of its proper divisors (109166386144803).

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

41537818760256 is an frugal number, since it uses more digits than its factorization.

41537818760256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 41537818760256 in words is "forty-one trillion, five hundred thirty-seven billion, eight hundred eighteen million, seven hundred sixty thousand, two hundred fifty-six".