4004322400 has 144 divisors (see below), whose sum is σ = 10785434688. Its totient is φ = 1442304000.

The previous prime is 4004322391. The next prime is 4004322401. The reversal of 4004322400 is 42234004.

4004322400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004322401) 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, 421705 + ... + 431095.

It is an arithmetic number, because the mean of its divisors is an integer number (74898852).

Almost surely, 2^4004322400 is an apocalyptic number.

4004322400 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 4004322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392717344).

4004322400 is an abundant number, since it is smaller than the sum of its proper divisors (6781112288).

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

4004322400 is a wasteful number, since it uses less digits than its factorization.

4004322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9465 (or 9452 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4004322400 is about 63279.7155492975. The cubic root of 4004322400 is about 1587.9726279948.

Adding to 4004322400 its reverse (42234004), we get a palindrome (4046556404).

The spelling of 4004322400 in words is "four billion, four million, three hundred twenty-two thousand, four hundred".