4213444400 has 60 divisors (see below), whose sum is σ = 11043066264. Its totient is φ = 1532160000.

The previous prime is 4213444379. The next prime is 4213444429. The reversal of 4213444400 is 44443124.

It is a happy number.

It is a super-2 number, since 2×4213444400² = 35506227423782720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4213444400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 474401 + ... + 483200.

Almost surely, 2^4213444400 is an apocalyptic number.

4213444400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4213444400 is an abundant number, since it is smaller than the sum of its proper divisors (6829621864).

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

4213444400 is a wasteful number, since it uses less digits than its factorization.

4213444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957630 (or 957619 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 4213444400 is about 64911.0499067763. The cubic root of 4213444400 is about 1615.1483663342.

Adding to 4213444400 its reverse (44443124), we get a palindrome (4257887524).

The spelling of 4213444400 in words is "four billion, two hundred thirteen million, four hundred forty-four thousand, four hundred".