41605066962000 has 200 divisors, whose sum is σ = 150280584308712. Its totient is φ = 11094684480000.

The previous prime is 41605066961903. The next prime is 41605066962061. The reversal of 41605066962000 is 26966050614.

41605066962000 is a `hidden beast` number, since 4 + 1 + 60 + 506 + 69 + 6 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12694142397456 + 28910924564544 = 3562884^2 + 5376888^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 128248701 + ... + 128572700.

Almost surely, 2^{41605066962000} is an apocalyptic number.

41605066962000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41605066962000 is an abundant number, since it is smaller than the sum of its proper divisors (108675517346712).

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

41605066962000 is a wasteful number, since it uses less digits than its factorization.

41605066962000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256821436 (or 256821411 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 41605066962000 in words is "forty-one trillion, six hundred five billion, sixty-six million, nine hundred sixty-two thousand".