41302132141200 has 240 divisors, whose sum is σ = 151223757952896. Its totient is φ = 9439324876800.

The previous prime is 41302132141163. The next prime is 41302132141223. The reversal of 41302132141200 is 214123120314.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×41302132141200² (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 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 47 ways as a sum of consecutive naturals, for example, 68858590 + ... + 69455810.

Almost surely, 2^{41302132141200} is an apocalyptic number.

41302132141200 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 41302132141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75611878976448).

41302132141200 is an abundant number, since it is smaller than the sum of its proper divisors (109921625811696).

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

41302132141200 is a wasteful number, since it uses less digits than its factorization.

41302132141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605482 (or 605471 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 41302132141200 its reverse (214123120314), we get a palindrome (41516255261514).

The spelling of 41302132141200 in words is "forty-one trillion, three hundred two billion, one hundred thirty-two million, one hundred forty-one thousand, two hundred".