41612253505120 has 192 divisors, whose sum is σ = 104393527056000. Its totient is φ = 15646735319040.

The previous prime is 41612253505103. The next prime is 41612253505159. The reversal of 41612253505120 is 2150535221614.

It is a self number, because there is not a number n which added to its sum of digits gives 41612253505120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92422306 + ... + 92871454.

It is an arithmetic number, because the mean of its divisors is an integer number (543716286750).

Almost surely, 2^{41612253505120} is an apocalyptic number.

41612253505120 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 41612253505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52196763528000).

41612253505120 is an abundant number, since it is smaller than the sum of its proper divisors (62781273550880).

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

41612253505120 is a wasteful number, since it uses less digits than its factorization.

41612253505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449721 (or 449713 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 41612253505120 its reverse (2150535221614), we get a palindrome (43762788726734).

The spelling of 41612253505120 in words is "forty-one trillion, six hundred twelve billion, two hundred fifty-three million, five hundred five thousand, one hundred twenty".