41234414400 has 504 divisors, whose sum is σ = 153533173248. Its totient is φ = 10483200000.

The previous prime is 41234414363. The next prime is 41234414423. The reversal of 41234414400 is 441443214.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31693750 + ... + 31695050.

It is an arithmetic number, because the mean of its divisors is an integer number (304629312).

Almost surely, 2^41234414400 is an apocalyptic number.

41234414400 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 41234414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76766586624).

41234414400 is an abundant number, since it is smaller than the sum of its proper divisors (112298758848).

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

41234414400 is a wasteful number, since it uses less digits than its factorization.

41234414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 41234414400 its reverse (441443214), we get a palindrome (41675857614).

The spelling of 41234414400 in words is "forty-one billion, two hundred thirty-four million, four hundred fourteen thousand, four hundred".