41314043400 has 576 divisors, whose sum is σ = 154084126080. Its totient is φ = 8966246400.

The previous prime is 41314043347. The next prime is 41314043413. The reversal of 41314043400 is 434041314.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 565945764 + ... + 565945836.

Almost surely, 2^41314043400 is an apocalyptic number.

41314043400 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 41314043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77042063040).

41314043400 is an abundant number, since it is smaller than the sum of its proper divisors (112770082680).

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

41314043400 is a wasteful number, since it uses less digits than its factorization.

41314043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41314043400 its reverse (434041314), we get a palindrome (41748084714).

The spelling of 41314043400 in words is "forty-one billion, three hundred fourteen million, forty-three thousand, four hundred".