4621334400 has 288 divisors, whose sum is σ = 17461828800. Its totient is φ = 1159741440.

The previous prime is 4621334381. The next prime is 4621334437. The reversal of 4621334400 is 44331264.

4621334400 is a `hidden beast` number, since 4 + 6 + 213 + 3 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 484881 + ... + 494319.

It is an arithmetic number, because the mean of its divisors is an integer number (60631350).

Almost surely, 2^4621334400 is an apocalyptic number.

4621334400 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 4621334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8730914400).

4621334400 is an abundant number, since it is smaller than the sum of its proper divisors (12840494400).

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

4621334400 is a wasteful number, since it uses less digits than its factorization.

4621334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9486 (or 9466 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4621334400 is about 67980.3971744796. The cubic root of 4621334400 is about 1665.6706439930.

Adding to 4621334400 its reverse (44331264), we get a palindrome (4665665664).

The spelling of 4621334400 in words is "four billion, six hundred twenty-one million, three hundred thirty-four thousand, four hundred".