41431314031104 has 240 divisors, whose sum is σ = 111568805764416. Its totient is φ = 13662592204800.

The previous prime is 41431314031087. The next prime is 41431314031139. The reversal of 41431314031104 is 40113041313414.

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 23 ways as a sum of consecutive naturals, for example, 8965873914 + ... + 8965878534.

Almost surely, 2^{41431314031104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41431314031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55784402882208).

41431314031104 is an abundant number, since it is smaller than the sum of its proper divisors (70137491733312).

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

41431314031104 is an equidigital number, since it uses as much as digits as its factorization.

41431314031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5227 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 41431314031104 its reverse (40113041313414), we get a palindrome (81544355344518).

The spelling of 41431314031104 in words is "forty-one trillion, four hundred thirty-one billion, three hundred fourteen million, thirty-one thousand, one hundred four".