4402010400 has 144 divisors (see below), whose sum is σ = 14599315584. Its totient is φ = 1151687680.

The previous prime is 4402010357. The next prime is 4402010441. The reversal of 4402010400 is 40102044.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4402010400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109897 + ... + 144503.

It is an arithmetic number, because the mean of its divisors is an integer number (101384136).

Almost surely, 2^4402010400 is an apocalyptic number.

4402010400 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 4402010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7299657792).

4402010400 is an abundant number, since it is smaller than the sum of its proper divisors (10197305184).

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

4402010400 is a wasteful number, since it uses less digits than its factorization.

4402010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34683 (or 34670 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4402010400 is about 66347.6480366863. The cubic root of 4402010400 is about 1638.8920734252.

Adding to 4402010400 its reverse (40102044), we get a palindrome (4442112444).

The spelling of 4402010400 in words is "four billion, four hundred two million, ten thousand, four hundred".