4221044202400 has 36 divisors (see below), whose sum is σ = 10304624161062. Its totient is φ = 1688417680640.

The previous prime is 4221044202391. The next prime is 4221044202451. The reversal of 4221044202400 is 42024401224.

It can be written as a sum of positive squares in 3 ways, for example, as 3330610400016 + 890433802384 = 1824996^2 + 943628^2 .

It is a super-2 number, since 2×4221044202400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2638151827 + ... + 2638153426.

Almost surely, 2^{4221044202400} is an apocalyptic number.

4221044202400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4221044202400 is an abundant number, since it is smaller than the sum of its proper divisors (6083579958662).

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

4221044202400 is a wasteful number, since it uses less digits than its factorization.

4221044202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5276305273 (or 5276305260 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 4221044202400 its reverse (42024401224), we get a palindrome (4263068603624).

The spelling of 4221044202400 in words is "four trillion, two hundred twenty-one billion, forty-four million, two hundred two thousand, four hundred".