4402424400 has 120 divisors (see below), whose sum is σ = 15384518304. Its totient is φ = 1067251200.

The previous prime is 4402424399. The next prime is 4402424401. The reversal of 4402424400 is 44242044.

It is an interprime number because it is at equal distance from previous prime (4402424399) and next prime (4402424401).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4402424401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153559 + ... + 179958.

Almost surely, 2^4402424400 is an apocalyptic number.

4402424400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4402424400 is an abundant number, since it is smaller than the sum of its proper divisors (10982093904).

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

4402424400 is a wasteful number, since it uses less digits than its factorization.

4402424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333549 (or 333538 counting only the distinct ones).

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

The square root of 4402424400 is about 66350.7678930696. The cubic root of 4402424400 is about 1638.9434499545.

Adding to 4402424400 its reverse (44242044), we get a palindrome (4446666444).

The spelling of 4402424400 in words is "four billion, four hundred two million, four hundred twenty-four thousand, four hundred".