41145172992 has 792 divisors, whose sum is σ = 156424534560. Its totient is φ = 10644480000.

The previous prime is 41145172987. The next prime is 41145173023. The reversal of 41145172992 is 29927154114.

41145172992 is a `hidden beast` number, since 41 + 1 + 4 + 517 + 2 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163924867 + ... + 163925117.

Almost surely, 2^41145172992 is an apocalyptic number.

41145172992 is a gapful number since it is divisible by the number (42) 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 41145172992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78212267280).

41145172992 is an abundant number, since it is smaller than the sum of its proper divisors (115279361568).

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

41145172992 is a wasteful number, since it uses less digits than its factorization.

41145172992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 274 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 41145172992 in words is "forty-one billion, one hundred forty-five million, one hundred seventy-two thousand, nine hundred ninety-two".