4002230400 has 192 divisors, whose sum is σ = 15065791680. Its totient is φ = 914780160.

The previous prime is 4002230399. The next prime is 4002230413. The reversal of 4002230400 is 40322004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 4002230400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37422 + ... + 96978.

It is an arithmetic number, because the mean of its divisors is an integer number (78467665).

Almost surely, 2^4002230400 is an apocalyptic number.

4002230400 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 4002230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7532895840).

4002230400 is an abundant number, since it is smaller than the sum of its proper divisors (11063561280).

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

4002230400 is a wasteful number, since it uses less digits than its factorization.

4002230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59591 (or 59574 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4002230400 is about 63263.1836062650. The cubic root of 4002230400 is about 1587.6960420884.

Adding to 4002230400 its reverse (40322004), we get a palindrome (4042552404).

The spelling of 4002230400 in words is "four billion, two million, two hundred thirty thousand, four hundred".