41431141315200 has 768 divisors, whose sum is σ = 168071982704640. Its totient is φ = 8735451955200.

The previous prime is 41431141315177. The next prime is 41431141315211. The reversal of 41431141315200 is 251314113414.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1319993907 + ... + 1320025293.

It is an arithmetic number, because the mean of its divisors is an integer number (218843727480).

Almost surely, 2^{41431141315200} is an apocalyptic number.

41431141315200 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 41431141315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84035991352320).

41431141315200 is an abundant number, since it is smaller than the sum of its proper divisors (126640841389440).

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

41431141315200 is a wasteful number, since it uses less digits than its factorization.

41431141315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32945 (or 32928 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 41431141315200 its reverse (251314113414), we get a palindrome (41682455428614).

The spelling of 41431141315200 in words is "forty-one trillion, four hundred thirty-one billion, one hundred forty-one million, three hundred fifteen thousand, two hundred".