41343043764960 has 1728 divisors, whose sum is σ = 184265987330880. Its totient is φ = 8363727912960.

The previous prime is 41343043764937. The next prime is 41343043764991. The reversal of 41343043764960 is 6946734034314.

41343043764960 is a `hidden beast` number, since 4 + 1 + 3 + 43 + 0 + 43 + 76 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41343043764897 and 41343043764906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3122343940 + ... + 3122357180.

It is an arithmetic number, because the mean of its divisors is an integer number (106635409335).

Almost surely, 2^{41343043764960} is an apocalyptic number.

41343043764960 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 41343043764960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92132993665440).

41343043764960 is an abundant number, since it is smaller than the sum of its proper divisors (142922943565920).

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

41343043764960 is a wasteful number, since it uses less digits than its factorization.

41343043764960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13449 (or 13431 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 41343043764960 in words is "forty-one trillion, three hundred forty-three billion, forty-three million, seven hundred sixty-four thousand, nine hundred sixty".