41365763464000 has 112 divisors (see below), whose sum is σ = 102452311443456. Its totient is φ = 16544690496000.

The previous prime is 41365763463979. The next prime is 41365763464019. The reversal of 41365763464000 is 46436756314.

41365763464000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41365763464000² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83456905 + ... + 83951095.

Almost surely, 2^{41365763464000} is an apocalyptic number.

41365763464000 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 41365763464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51226155721728).

41365763464000 is an abundant number, since it is smaller than the sum of its proper divisors (61086547979456).

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

41365763464000 is a wasteful number, since it uses less digits than its factorization.

41365763464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504681 (or 504661 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 49.

The spelling of 41365763464000 in words is "forty-one trillion, three hundred sixty-five billion, seven hundred sixty-three million, four hundred sixty-four thousand".