41661612164160 has 336 divisors, whose sum is σ = 158324785646976. Its totient is φ = 10001628020736.

The previous prime is 41661612164149. The next prime is 41661612164171. The reversal of 41661612164160 is 6146121616614.

41661612164160 is a `hidden beast` number, since 4 + 1 + 6 + 6 + 1 + 612 + 16 + 4 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41661612164149) and next prime (41661612164171).

It is a super-3 number, since 3×41661612164160³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17372434 + ... + 19624593.

Almost surely, 2^{41661612164160} is an apocalyptic number.

41661612164160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41661612164160 is an abundant number, since it is smaller than the sum of its proper divisors (116663173482816).

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

41661612164160 is a wasteful number, since it uses less digits than its factorization.

41661612164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36997090 (or 36997077 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 41661612164160 in words is "forty-one trillion, six hundred sixty-one billion, six hundred twelve million, one hundred sixty-four thousand, one hundred sixty".