41403101215200 has 288 divisors, whose sum is σ = 137824288680960. Its totient is φ = 10793133312000.

The previous prime is 41403101215171. The next prime is 41403101215211. The reversal of 41403101215200 is 251210130414.

It is a super-2 number, since 2×41403101215200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 18068557 + ... + 20230643.

It is an arithmetic number, because the mean of its divisors is an integer number (478556557920).

Almost surely, 2^{41403101215200} is an apocalyptic number.

41403101215200 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 41403101215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68912144340480).

41403101215200 is an abundant number, since it is smaller than the sum of its proper divisors (96421187465760).

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

41403101215200 is a wasteful number, since it uses less digits than its factorization.

41403101215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162290 (or 2162277 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 41403101215200 its reverse (251210130414), we get a palindrome (41654311345614).

The spelling of 41403101215200 in words is "forty-one trillion, four hundred three billion, one hundred one million, two hundred fifteen thousand, two hundred".