4919073120 has 288 divisors, whose sum is σ = 18337161024. Its totient is φ = 1193472000.

The previous prime is 4919073109. The next prime is 4919073127. The reversal of 4919073120 is 213709194.

4919073120 is a `hidden beast` number, since 491 + 90 + 73 + 12 + 0 = 666.

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

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 (4919073127) 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 47 ways as a sum of consecutive naturals, for example, 1327270 + ... + 1330970.

It is an arithmetic number, because the mean of its divisors is an integer number (63670698).

Almost surely, 2^4919073120 is an apocalyptic number.

4919073120 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 4919073120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9168580512).

4919073120 is an abundant number, since it is smaller than the sum of its proper divisors (13418087904).

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

4919073120 is a wasteful number, since it uses less digits than its factorization.

4919073120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 4919073120 is about 70136.1042545136. The cubic root of 4919073120 is about 1700.7001867731.

The spelling of 4919073120 in words is "four billion, nine hundred nineteen million, seventy-three thousand, one hundred twenty".