4500321638400 has 2880 divisors, whose sum is σ = 20644303680000. Its totient is φ = 945959731200.

The previous prime is 4500321638399. The next prime is 4500321638411. The reversal of 4500321638400 is 48361230054.

4500321638400 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 3 + 216 + 38 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×4500321638400³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 22614681501 + ... + 22614681699.

It is an arithmetic number, because the mean of its divisors is an integer number (7168161000).

Almost surely, 2^{4500321638400} is an apocalyptic number.

4500321638400 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 4500321638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10322151840000).

4500321638400 is an abundant number, since it is smaller than the sum of its proper divisors (16143982041600).

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

4500321638400 is a wasteful number, since it uses less digits than its factorization.

4500321638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 4500321638400 its reverse (48361230054), we get a palindrome (4548682868454).

The spelling of 4500321638400 in words is "four trillion, five hundred billion, three hundred twenty-one million, six hundred thirty-eight thousand, four hundred".