41943340857600 has 3456 divisors, whose sum is σ = 197008550645760. Its totient is φ = 8496119808000.

The previous prime is 41943340857463. The next prime is 41943340857601. The reversal of 41943340857600 is 675804334914.

41943340857600 is a `hidden beast` number, since 4 + 194 + 3 + 340 + 8 + 57 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is not an unprimeable number, because it can be changed into a prime (41943340857601) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 43196025115 + ... + 43196026085.

It is an arithmetic number, because the mean of its divisors is an integer number (57004788960).

Almost surely, 2^{41943340857600} is an apocalyptic number.

41943340857600 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 41943340857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98504275322880).

41943340857600 is an abundant number, since it is smaller than the sum of its proper divisors (155065209788160).

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

41943340857600 is a wasteful number, since it uses less digits than its factorization.

41943340857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 41943340857600 in words is "forty-one trillion, nine hundred forty-three billion, three hundred forty million, eight hundred fifty-seven thousand, six hundred".