41146122600000 has 3024 divisors, whose sum is σ = 174420082025280. Its totient is φ = 9237888000000.

The previous prime is 41146122599957. The next prime is 41146122600001. The reversal of 41146122600000 is 622164114.

41146122600000 is a `hidden beast` number, since 4 + 1 + 1 + 46 + 12 + 2 + 600 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (41146122600001) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 252430199919 + ... + 252430200081.

Almost surely, 2^{41146122600000} is an apocalyptic number.

41146122600000 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 41146122600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87210041012640).

41146122600000 is an abundant number, since it is smaller than the sum of its proper divisors (133273959425280).

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

41146122600000 is a wasteful number, since it uses less digits than its factorization.

41146122600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 41146122600000 its reverse (622164114), we get a palindrome (41146744764114).

The spelling of 41146122600000 in words is "forty-one trillion, one hundred forty-six billion, one hundred twenty-two million, six hundred thousand".