4904061120 has 1008 divisors, whose sum is σ = 21682252800. Its totient is φ = 1010257920.

The previous prime is 4904061109. The next prime is 4904061121. The reversal of 4904061120 is 211604094.

4904061120 is a `hidden beast` number, since 4 + 9 + 0 + 40 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4904061121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83119651 + ... + 83119709.

Almost surely, 2^4904061120 is an apocalyptic number.

4904061120 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 4904061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10841126400).

4904061120 is an abundant number, since it is smaller than the sum of its proper divisors (16778191680).

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

4904061120 is a wasteful number, since it uses less digits than its factorization.

4904061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4904061120 is about 70029.0019920318. The cubic root of 4904061120 is about 1698.9683613932.

The spelling of 4904061120 in words is "four billion, nine hundred four million, sixty-one thousand, one hundred twenty".