4756221400 has 288 divisors, whose sum is σ = 13536990720. Its totient is φ = 1520870400.

The previous prime is 4756221391. The next prime is 4756221403. The reversal of 4756221400 is 41226574.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4756221403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101196177 + ... + 101196223.

It is an arithmetic number, because the mean of its divisors is an integer number (47003440).

Almost surely, 2^4756221400 is an apocalyptic number.

4756221400 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 4756221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768495360).

4756221400 is an abundant number, since it is smaller than the sum of its proper divisors (8780769320).

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

4756221400 is a wasteful number, since it uses less digits than its factorization.

4756221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 4756221400 is about 68965.3637705189. The cubic root of 4756221400 is about 1681.7212847554.

Adding to 4756221400 its reverse (41226574), we get a palindrome (4797447974).

The spelling of 4756221400 in words is "four billion, seven hundred fifty-six million, two hundred twenty-one thousand, four hundred".