4320440400 has 120 divisors (see below), whose sum is σ = 14568298720. Its totient is φ = 1091473920.

The previous prime is 4320440393. The next prime is 4320440407. The reversal of 4320440400 is 40440234.

It is an interprime number because it is at equal distance from previous prime (4320440393) and next prime (4320440407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4320440407) 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, 71947 + ... + 117546.

Almost surely, 2^4320440400 is an apocalyptic number.

4320440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4320440400 is an abundant number, since it is smaller than the sum of its proper divisors (10247858320).

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

4320440400 is a wasteful number, since it uses less digits than its factorization.

4320440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189533 (or 189522 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 4320440400 is about 65730.0570515499. The cubic root of 4320440400 is about 1628.7059120356.

Adding to 4320440400 its reverse (40440234), we get a palindrome (4360880634).

The spelling of 4320440400 in words is "four billion, three hundred twenty million, four hundred forty thousand, four hundred".