41945472000 has 704 divisors, whose sum is σ = 158644137600. Its totient is φ = 10926489600.

The previous prime is 41945471993. The next prime is 41945472043. The reversal of 41945472000 is 27454914.

It is a happy number.

41945472000 is a `hidden beast` number, since 4 + 1 + 94 + 547 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 183167886 + ... + 183168114.

Almost surely, 2^41945472000 is an apocalyptic number.

41945472000 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 41945472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79322068800).

41945472000 is an abundant number, since it is smaller than the sum of its proper divisors (116698665600).

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

41945472000 is a wasteful number, since it uses less digits than its factorization.

41945472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 41945472000 in words is "forty-one billion, nine hundred forty-five million, four hundred seventy-two thousand".