41206212633240 has 192 divisors, whose sum is σ = 137647249459200. Its totient is φ = 10682978098176.

The previous prime is 41206212633221. The next prime is 41206212633283. The reversal of 41206212633240 is 4233621260214.

41206212633240 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 6 + 2 + 12 + 633 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41206212633195 and 41206212633204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15826914 + ... + 18245646.

It is an arithmetic number, because the mean of its divisors is an integer number (716912757600).

Almost surely, 2^{41206212633240} is an apocalyptic number.

41206212633240 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 41206212633240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68823624729600).

41206212633240 is an abundant number, since it is smaller than the sum of its proper divisors (96441036825960).

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

41206212633240 is a wasteful number, since it uses less digits than its factorization.

41206212633240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420066 (or 2420059 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 41206212633240 its reverse (4233621260214), we get a palindrome (45439833893454).

The spelling of 41206212633240 in words is "forty-one trillion, two hundred six billion, two hundred twelve million, six hundred thirty-three thousand, two hundred forty".