41414400000 has 432 divisors, whose sum is σ = 149713855200. Its totient is φ = 11028480000.

The previous prime is 41414399951. The next prime is 41414400017. The reversal of 41414400000 is 441414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57599641 + ... + 57600359.

It is an arithmetic number, because the mean of its divisors is an integer number (346559850).

Almost surely, 2^41414400000 is an apocalyptic number.

41414400000 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 41414400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74856927600).

41414400000 is an abundant number, since it is smaller than the sum of its proper divisors (108299455200).

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

41414400000 is an frugal number, since it uses more digits than its factorization.

41414400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 41414400000 its reverse (441414), we get a palindrome (41414841414).

The spelling of 41414400000 in words is "forty-one billion, four hundred fourteen million, four hundred thousand".