4024424400 has 60 divisors (see below), whose sum is σ = 12891576672. Its totient is φ = 1073179520.

The previous prime is 4024424389. The next prime is 4024424419. The reversal of 4024424400 is 44244204.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1675644 + ... + 1678043.

Almost surely, 2^4024424400 is an apocalyptic number.

4024424400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4024424400 is an abundant number, since it is smaller than the sum of its proper divisors (8867152272).

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

4024424400 is a wasteful number, since it uses less digits than its factorization.

4024424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353708 (or 3353697 counting only the distinct ones).

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

The square root of 4024424400 is about 63438.3511765557. The cubic root of 4024424400 is about 1590.6254412197.

Adding to 4024424400 its reverse (44244204), we get a palindrome (4068668604).

The spelling of 4024424400 in words is "four billion, twenty-four million, four hundred twenty-four thousand, four hundred".