4121444220400 has 120 divisors (see below), whose sum is σ = 10665553235904. Its totient is φ = 1521463065600.

The previous prime is 4121444220373. The next prime is 4121444220407. The reversal of 4121444220400 is 40224441214.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121444220407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27125442 + ... + 27276958.

Almost surely, 2^{4121444220400} is an apocalyptic number.

4121444220400 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 4121444220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332776617952).

4121444220400 is an abundant number, since it is smaller than the sum of its proper divisors (6544109015504).

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

4121444220400 is a wasteful number, since it uses less digits than its factorization.

4121444220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156779 (or 156768 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 4121444220400 its reverse (40224441214), we get a palindrome (4161668661614).

The spelling of 4121444220400 in words is "four trillion, one hundred twenty-one billion, four hundred forty-four million, two hundred twenty thousand, four hundred".