41201491968 has 896 divisors, whose sum is σ = 158535014400. Its totient is φ = 10277093376.

The previous prime is 41201491939. The next prime is 41201492021. The reversal of 41201491968 is 86919410214.

It is a happy number.

41201491968 is a `hidden beast` number, since 412 + 0 + 1 + 49 + 196 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 462938068 + ... + 462938156.

It is an arithmetic number, because the mean of its divisors is an integer number (176936400).

Almost surely, 2^41201491968 is an apocalyptic number.

41201491968 is a gapful number since it is divisible by the number (48) 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 41201491968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79267507200).

41201491968 is an abundant number, since it is smaller than the sum of its proper divisors (117333522432).

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

41201491968 is a wasteful number, since it uses less digits than its factorization.

41201491968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 41201491968 in words is "forty-one billion, two hundred one million, four hundred ninety-one thousand, nine hundred sixty-eight".