41383563496704 has 2304 divisors, whose sum is σ = 160212971520000. Its totient is φ = 10337609318400.

The previous prime is 41383563496697. The next prime is 41383563496763. The reversal of 41383563496704 is 40769436538314.

It is a happy number.

41383563496704 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 3 + 563 + 4 + 9 + 67 + 0 + 4 = 666.

41383563496704 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27607446547 + ... + 27607448045.

It is an arithmetic number, because the mean of its divisors is an integer number (69536880000).

Almost surely, 2^{41383563496704} is an apocalyptic number.

41383563496704 is a gapful number since it is divisible by the number (44) 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 41383563496704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80106485760000).

41383563496704 is an abundant number, since it is smaller than the sum of its proper divisors (118829408023296).

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

41383563496704 is a wasteful number, since it uses less digits than its factorization.

41383563496704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 41383563496704 in words is "forty-one trillion, three hundred eighty-three billion, five hundred sixty-three million, four hundred ninety-six thousand, seven hundred four".