41352683760 has 800 divisors, whose sum is σ = 158283797760. Its totient is φ = 9970200576.

The previous prime is 41352683711. The next prime is 41352683773. The reversal of 41352683760 is 6738625314.

41352683760 is a `hidden beast` number, since 4 + 13 + 5 + 268 + 376 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 386473627 + ... + 386473733.

Almost surely, 2^41352683760 is an apocalyptic number.

41352683760 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 41352683760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79141898880).

41352683760 is an abundant number, since it is smaller than the sum of its proper divisors (116931114000).

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

41352683760 is a wasteful number, since it uses less digits than its factorization.

41352683760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 41352683760 in words is "forty-one billion, three hundred fifty-two million, six hundred eighty-three thousand, seven hundred sixty".