4681419120 has 720 divisors, whose sum is σ = 19810732032. Its totient is φ = 969200640.

The previous prime is 4681419107. The next prime is 4681419121. The reversal of 4681419120 is 219141864.

4681419120 is a `hidden beast` number, since 46 + 81 + 419 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4681419121) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 56402599 + ... + 56402681.

Almost surely, 2^4681419120 is an apocalyptic number.

4681419120 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 4681419120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9905366016).

4681419120 is an abundant number, since it is smaller than the sum of its proper divisors (15129312912).

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

4681419120 is a wasteful number, since it uses less digits than its factorization.

4681419120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4681419120 is about 68420.8968079197. The cubic root of 4681419120 is about 1672.8583746775.

It can be divided in two parts, 4681 and 419120, that added together give a square (423801 = 651²).

The spelling of 4681419120 in words is "four billion, six hundred eighty-one million, four hundred nineteen thousand, one hundred twenty".