41353804800000 has 5040 divisors, whose sum is σ = 201256881453936. Its totient is φ = 8360755200000.

The previous prime is 41353804799987. The next prime is 41353804800001. The reversal of 41353804800000 is 840835314.

41353804800000 is a `hidden beast` number, since 41 + 3 + 538 + 0 + 4 + 80 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41353804800001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1117670399982 + ... + 1117670400018.

Almost surely, 2^{41353804800000} is an apocalyptic number.

41353804800000 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 41353804800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100628440726968).

41353804800000 is an abundant number, since it is smaller than the sum of its proper divisors (159903076653936).

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

41353804800000 is an frugal number, since it uses more digits than its factorization.

41353804800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 41353804800000 in words is "forty-one trillion, three hundred fifty-three billion, eight hundred four million, eight hundred thousand".