41786849998080 has 288 divisors, whose sum is σ = 161765761691520. Its totient is φ = 10130145361920.

The previous prime is 41786849997983. The next prime is 41786849998081. The reversal of 41786849998080 is 8089994868714.

It is a happy number.

41786849998080 is a `hidden beast` number, since 41 + 7 + 8 + 6 + 8 + 499 + 9 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×41786849998080² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41786849998081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54579397 + ... + 55339716.

It is an arithmetic number, because the mean of its divisors is an integer number (561686672540).

Almost surely, 2^{41786849998080} is an apocalyptic number.

41786849998080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41786849998080 is an abundant number, since it is smaller than the sum of its proper divisors (119978911693440).

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

41786849998080 is a wasteful number, since it uses less digits than its factorization.

41786849998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109919154 (or 109919134 counting only the distinct ones).

The product of its (nonzero) digits is 2006581248, while the sum is 81.

The spelling of 41786849998080 in words is "forty-one trillion, seven hundred eighty-six billion, eight hundred forty-nine million, nine hundred ninety-eight thousand, eighty".