41214530411040 has 192 divisors, whose sum is σ = 150039415169280. Its totient is φ = 9314616115200.

The previous prime is 41214530411029. The next prime is 41214530411053. The reversal of 41214530411040 is 4011403541214.

41214530411040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41214530410989 and 41214530411007.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 68612361 + ... + 69210440.

It is an arithmetic number, because the mean of its divisors is an integer number (781455287340).

Almost surely, 2^{41214530411040} is an apocalyptic number.

41214530411040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41214530411040 is an abundant number, since it is smaller than the sum of its proper divisors (108824884758240).

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

41214530411040 is a wasteful number, since it uses less digits than its factorization.

41214530411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137822915 (or 137822907 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 41214530411040 its reverse (4011403541214), we get a palindrome (45225933952254).

The spelling of 41214530411040 in words is "forty-one trillion, two hundred fourteen billion, five hundred thirty million, four hundred eleven thousand, forty".