4321404000 has 192 divisors, whose sum is σ = 15730303680. Its totient is φ = 1152345600.

The previous prime is 4321403993. The next prime is 4321404001. The reversal of 4321404000 is 4041234.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4321404001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 87994 + ... + 128006.

It is an arithmetic number, because the mean of its divisors is an integer number (81928665).

Almost surely, 2^4321404000 is an apocalyptic number.

4321404000 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 4321404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7865151840).

4321404000 is an abundant number, since it is smaller than the sum of its proper divisors (11408899680).

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

4321404000 is a wasteful number, since it uses less digits than its factorization.

4321404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40047 (or 40023 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4321404000 is about 65737.3866228343. The cubic root of 4321404000 is about 1628.8269879914.

Adding to 4321404000 its reverse (4041234), we get a palindrome (4325445234).

It can be divided in two parts, 4321 and 404000, that added together give a square (408321 = 639²).

The spelling of 4321404000 in words is "four billion, three hundred twenty-one million, four hundred four thousand".