8440444400 has 60 divisors (see below), whose sum is σ = 20932332864. Its totient is φ = 3267264000.

The previous prime is 8440444399. The next prime is 8440444409. The reversal of 8440444400 is 44440448.

It is a super-2 number, since 2×8440444400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8440444409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327941 + ... + 352740.

Almost surely, 2^8440444400 is an apocalyptic number.

8440444400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8440444400 is an abundant number, since it is smaller than the sum of its proper divisors (12491888464).

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

8440444400 is a wasteful number, since it uses less digits than its factorization.

8440444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680730 (or 680719 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

The square root of 8440444400 is about 91871.8912399217. The cubic root of 8440444400 is about 2036.0499947196.

Adding to 8440444400 its reverse (44440448), we get a palindrome (8484884848).

The spelling of 8440444400 in words is "eight billion, four hundred forty million, four hundred forty-four thousand, four hundred".