4241104400 has 120 divisors (see below), whose sum is σ = 10998645000. Its totient is φ = 1562296320.

The previous prime is 4241104381. The next prime is 4241104409. The reversal of 4241104400 is 44011424.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2670408976 + 1570695424 = 51676^2 + 39632^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4241104409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3394976 + ... + 3396224.

It is an arithmetic number, because the mean of its divisors is an integer number (91655375).

Almost surely, 2^4241104400 is an apocalyptic number.

4241104400 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 4241104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499322500).

4241104400 is an abundant number, since it is smaller than the sum of its proper divisors (6757540600).

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

4241104400 is a wasteful number, since it uses less digits than its factorization.

4241104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1922 counting only the distinct ones).

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

The square root of 4241104400 is about 65123.7621763362. The cubic root of 4241104400 is about 1618.6749821876.

Adding to 4241104400 its reverse (44011424), we get a palindrome (4285115824).

The spelling of 4241104400 in words is "four billion, two hundred forty-one million, one hundred four thousand, four hundred".