41618621983680 has 1344 divisors, whose sum is σ = 174276402353280. Its totient is φ = 9319306493952.

The previous prime is 41618621983667. The next prime is 41618621983691. The reversal of 41618621983680 is 8638912681614.

41618621983680 is a `hidden beast` number, since 4 + 1 + 6 + 1 + 86 + 2 + 198 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24524820592 + ... + 24524822288.

Almost surely, 2^{41618621983680} is an apocalyptic number.

41618621983680 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 41618621983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87138201176640).

41618621983680 is an abundant number, since it is smaller than the sum of its proper divisors (132657780369600).

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

41618621983680 is a wasteful number, since it uses less digits than its factorization.

41618621983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 41618621983680 in words is "forty-one trillion, six hundred eighteen billion, six hundred twenty-one million, nine hundred eighty-three thousand, six hundred eighty".