4718420100 has 720 divisors, whose sum is σ = 17745530880. Its totient is φ = 1077753600.

The previous prime is 4718420059. The next prime is 4718420117. The reversal of 4718420100 is 10248174.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 109730679 + ... + 109730721.

Almost surely, 2^4718420100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4718420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8872765440).

4718420100 is an abundant number, since it is smaller than the sum of its proper divisors (13027110780).

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

4718420100 is a wasteful number, since it uses less digits than its factorization.

4718420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 4718420100 is about 68690.7570201406. The cubic root of 4718420100 is about 1677.2541241425.

Adding to 4718420100 its reverse (10248174), we get a palindrome (4728668274).

The spelling of 4718420100 in words is "four billion, seven hundred eighteen million, four hundred twenty thousand, one hundred".