41056972992000 has 720 divisors, whose sum is σ = 172023231652272. Its totient is φ = 9384444518400.

The previous prime is 41056972991977. The next prime is 41056972992029. The reversal of 41056972992000 is 29927965014.

41056972992000 is a `hidden beast` number, since 4 + 1 + 0 + 569 + 72 + 9 + 9 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27496659 + ... + 28951341.

Almost surely, 2^{41056972992000} is an apocalyptic number.

41056972992000 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 41056972992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86011615826136).

41056972992000 is an abundant number, since it is smaller than the sum of its proper divisors (130966258660272).

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

41056972992000 is a wasteful number, since it uses less digits than its factorization.

41056972992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454736 (or 1454700 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 41056972992000 in words is "forty-one trillion, fifty-six billion, nine hundred seventy-two million, nine hundred ninety-two thousand".