4751318400 has 384 divisors, whose sum is σ = 16255209600. Its totient is φ = 1219215360.

The previous prime is 4751318359. The next prime is 4751318431. The reversal of 4751318400 is 48131574.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53385556 + ... + 53385644.

It is an arithmetic number, because the mean of its divisors is an integer number (42331275).

Almost surely, 2^4751318400 is an apocalyptic number.

4751318400 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 4751318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8127604800).

4751318400 is an abundant number, since it is smaller than the sum of its proper divisors (11503891200).

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

4751318400 is a wasteful number, since it uses less digits than its factorization.

4751318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 4751318400 is about 68929.8077757366. The cubic root of 4751318400 is about 1681.1432128154.

Adding to 4751318400 its reverse (48131574), we get a palindrome (4799449974).

The spelling of 4751318400 in words is "four billion, seven hundred fifty-one million, three hundred eighteen thousand, four hundred".