41323412400 has 240 divisors, whose sum is σ = 133946855424. Its totient is φ = 10889303040.

The previous prime is 41323412399. The next prime is 41323412401. The reversal of 41323412400 is 421432314.

41323412400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41323412399) and next prime (41323412401).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (41323412401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60502459 + ... + 60503141.

Almost surely, 2^41323412400 is an apocalyptic number.

41323412400 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 41323412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66973427712).

41323412400 is an abundant number, since it is smaller than the sum of its proper divisors (92623443024).

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

41323412400 is a wasteful number, since it uses less digits than its factorization.

41323412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1217 counting only the distinct ones).

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

Adding to 41323412400 its reverse (421432314), we get a palindrome (41744844714).

The spelling of 41323412400 in words is "forty-one billion, three hundred twenty-three million, four hundred twelve thousand, four hundred".