41945356800 has 720 divisors, whose sum is σ = 157044805632. Its totient is φ = 10683187200.

The previous prime is 41945356741. The next prime is 41945356811. The reversal of 41945356800 is 865354914.

41945356800 is a `hidden beast` number, since 41 + 9 + 45 + 3 + 568 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 330278337 + ... + 330278463.

Almost surely, 2^41945356800 is an apocalyptic number.

41945356800 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 41945356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78522402816).

41945356800 is an abundant number, since it is smaller than the sum of its proper divisors (115099448832).

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

41945356800 is a wasteful number, since it uses less digits than its factorization.

41945356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 41945356800 in words is "forty-one billion, nine hundred forty-five million, three hundred fifty-six thousand, eight hundred".