41213713066240 has 2304 divisors, whose sum is σ = 135290953728000. Its totient is φ = 11771943321600.

The previous prime is 41213713066213. The next prime is 41213713066363. The reversal of 41213713066240 is 4266031731214.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 41213713066193 and 41213713066202.

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, 207104085661 + ... + 207104085859.

It is an arithmetic number, because the mean of its divisors is an integer number (58720032000).

Almost surely, 2^{41213713066240} is an apocalyptic number.

41213713066240 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 41213713066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67645476864000).

41213713066240 is an abundant number, since it is smaller than the sum of its proper divisors (94077240661760).

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

41213713066240 is a wasteful number, since it uses less digits than its factorization.

41213713066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

Adding to 41213713066240 its reverse (4266031731214), we get a palindrome (45479744797454).

The spelling of 41213713066240 in words is "forty-one trillion, two hundred thirteen billion, seven hundred thirteen million, sixty-six thousand, two hundred forty".