4321626400 has 576 divisors, whose sum is σ = 14174092800. Its totient is φ = 1248952320.

The previous prime is 4321626383. The next prime is 4321626403. The reversal of 4321626400 is 46261234.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4321626403) 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 95 ways as a sum of consecutive naturals, for example, 48557556 + ... + 48557644.

It is an arithmetic number, because the mean of its divisors is an integer number (24607800).

Almost surely, 2^4321626400 is an apocalyptic number.

4321626400 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 4321626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7087046400).

4321626400 is an abundant number, since it is smaller than the sum of its proper divisors (9852466400).

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

4321626400 is a wasteful number, since it uses less digits than its factorization.

4321626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 4321626400 is about 65739.0781803335. The cubic root of 4321626400 is about 1628.8549299063.

Adding to 4321626400 its reverse (46261234), we get a palindrome (4367887634).

The spelling of 4321626400 in words is "four billion, three hundred twenty-one million, six hundred twenty-six thousand, four hundred".