41800615660800 has 1728 divisors, whose sum is σ = 169397824512000. Its totient is φ = 10044850176000.

The previous prime is 41800615660759. The next prime is 41800615660847. The reversal of 41800615660800 is 806651600814.

41800615660800 is a `hidden beast` number, since 4 + 1 + 8 + 0 + 0 + 6 + 1 + 566 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 6004969320 + ... + 6004976280.

Almost surely, 2^{41800615660800} is an apocalyptic number.

41800615660800 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 41800615660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84698912256000).

41800615660800 is an abundant number, since it is smaller than the sum of its proper divisors (127597208851200).

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

41800615660800 is a wasteful number, since it uses less digits than its factorization.

41800615660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7105 (or 7080 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 41800615660800 in words is "forty-one trillion, eight hundred billion, six hundred fifteen million, six hundred sixty thousand, eight hundred".