4424420400 has 120 divisors (see below), whose sum is σ = 14190033744. Its totient is φ = 1178419200.

The previous prime is 4424420393. The next prime is 4424420411. The reversal of 4424420400 is 40244244.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1314720 + ... + 1318080.

Almost surely, 2^4424420400 is an apocalyptic number.

4424420400 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 4424420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095016872).

4424420400 is an abundant number, since it is smaller than the sum of its proper divisors (9765613344).

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

4424420400 is a wasteful number, since it uses less digits than its factorization.

4424420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4424420400 is about 66516.3167952045. The cubic root of 4424420400 is about 1641.6684883498.

Adding to 4424420400 its reverse (40244244), we get a palindrome (4464664644).

The spelling of 4424420400 in words is "four billion, four hundred twenty-four million, four hundred twenty thousand, four hundred".