41197675680 has 1152 divisors, whose sum is σ = 181753528320. Its totient is φ = 8599633920.

The previous prime is 41197675613. The next prime is 41197675721. The reversal of 41197675680 is 8657679114.

41197675680 is a `hidden beast` number, since 4 + 1 + 1 + 9 + 76 + 7 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 160302112 + ... + 160302368.

It is an arithmetic number, because the mean of its divisors is an integer number (157772160).

Almost surely, 2^41197675680 is an apocalyptic number.

41197675680 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 41197675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90876764160).

41197675680 is an abundant number, since it is smaller than the sum of its proper divisors (140555852640).

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

41197675680 is a wasteful number, since it uses less digits than its factorization.

41197675680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 41197675680 in words is "forty-one billion, one hundred ninety-seven million, six hundred seventy-five thousand, six hundred eighty".