41134314411400 has 192 divisors, whose sum is σ = 110164437060480. Its totient is φ = 13992043161600.

The previous prime is 41134314411389. The next prime is 41134314411413. The reversal of 41134314411400 is 411441343114.

It is a happy number.

41134314411400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 93422164 + ... + 93861436.

It is an arithmetic number, because the mean of its divisors is an integer number (573773109690).

Almost surely, 2^{41134314411400} is an apocalyptic number.

41134314411400 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 41134314411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55082218530240).

41134314411400 is an abundant number, since it is smaller than the sum of its proper divisors (69030122649080).

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

41134314411400 is a wasteful number, since it uses less digits than its factorization.

41134314411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439824 (or 439815 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 41134314411400 its reverse (411441343114), we get a palindrome (41545755754514).

The spelling of 41134314411400 in words is "forty-one trillion, one hundred thirty-four billion, three hundred fourteen million, four hundred eleven thousand, four hundred".