41262191680680 has 192 divisors, whose sum is σ = 134442827410320. Its totient is φ = 10975327641600.

The previous prime is 41262191680667. The next prime is 41262191680687. The reversal of 41262191680680 is 8608619126214.

41262191680680 is a `hidden beast` number, since 4 + 1 + 2 + 621 + 9 + 1 + 6 + 8 + 0 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25785819944676 + 15476371736004 = 5077974^2 + 3934002^2 .

It is not an unprimeable number, because it can be changed into a prime (41262191680687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252038050 + ... + 252201710.

Almost surely, 2^{41262191680680} is an apocalyptic number.

41262191680680 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 41262191680680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67221413705160).

41262191680680 is an abundant number, since it is smaller than the sum of its proper divisors (93180635729640).

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

41262191680680 is a wasteful number, since it uses less digits than its factorization.

41262191680680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165452 (or 165445 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 41262191680680 in words is "forty-one trillion, two hundred sixty-two billion, one hundred ninety-one million, six hundred eighty thousand, six hundred eighty".