4121044400 has 120 divisors (see below), whose sum is σ = 10825688064. Its totient is φ = 1495123200.

The previous prime is 4121044393. The next prime is 4121044429. The reversal of 4121044400 is 44401214.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2670029 + ... + 2671571.

Almost surely, 2^4121044400 is an apocalyptic number.

4121044400 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 4121044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5412844032).

4121044400 is an abundant number, since it is smaller than the sum of its proper divisors (6704643664).

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

4121044400 is a wasteful number, since it uses less digits than its factorization.

4121044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4121044400 is about 64195.3612031274. The cubic root of 4121044400 is about 1603.2543657851.

Adding to 4121044400 its reverse (44401214), we get a palindrome (4165445614).

The spelling of 4121044400 in words is "four billion, one hundred twenty-one million, forty-four thousand, four hundred".