41380709068800 has 624 divisors, whose sum is σ = 156126191078880. Its totient is φ = 10736589864960.

The previous prime is 41380709068793. The next prime is 41380709068801. The reversal of 41380709068800 is 886090708314.

41380709068800 is a `hidden beast` number, since 41 + 380 + 7 + 0 + 90 + 68 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41380709068801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 102095344 + ... + 102499856.

Almost surely, 2^{41380709068800} is an apocalyptic number.

41380709068800 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 41380709068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78063095539440).

41380709068800 is an abundant number, since it is smaller than the sum of its proper divisors (114745482010080).

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

41380709068800 is a wasteful number, since it uses less digits than its factorization.

41380709068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404593 (or 404560 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 41380709068800 in words is "forty-one trillion, three hundred eighty billion, seven hundred nine million, sixty-eight thousand, eight hundred".