41121214400 has 168 divisors, whose sum is σ = 116525625216. Its totient is φ = 13990579200.

The previous prime is 41121214399. The next prime is 41121214429. The reversal of 41121214400 is 441212114.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1453187 + ... + 1481213.

It is an arithmetic number, because the mean of its divisors is an integer number (693604912).

Almost surely, 2^41121214400 is an apocalyptic number.

41121214400 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 41121214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58262812608).

41121214400 is an abundant number, since it is smaller than the sum of its proper divisors (75404410816).

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

41121214400 is a wasteful number, since it uses less digits than its factorization.

41121214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28187 (or 28172 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 41121214400 its reverse (441212114), we get a palindrome (41562426514).

The spelling of 41121214400 in words is "forty-one billion, one hundred twenty-one million, two hundred fourteen thousand, four hundred".