41682155374080 has 1920 divisors, whose sum is σ = 170524307745792. Its totient is φ = 9324360105984.

The previous prime is 41682155374039. The next prime is 41682155374091. The reversal of 41682155374080 is 8047355128614.

It is a happy number.

41682155374080 is a `hidden beast` number, since 4 + 1 + 6 + 8 + 2 + 1 + 553 + 7 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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, 10960333459 + ... + 10960337261.

Almost surely, 2^{41682155374080} is an apocalyptic number.

41682155374080 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 41682155374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85262153872896).

41682155374080 is an abundant number, since it is smaller than the sum of its proper divisors (128842152371712).

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

41682155374080 is a wasteful number, since it uses less digits than its factorization.

41682155374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 41682155374080 in words is "forty-one trillion, six hundred eighty-two billion, one hundred fifty-five million, three hundred seventy-four thousand, eighty".