4820611461120 has 2496 divisors, whose sum is σ = 21689084411904. Its totient is φ = 963158999040.

The previous prime is 4820611461109. The next prime is 4820611461179. The reversal of 4820611461120 is 211641160284.

4820611461120 is a `hidden beast` number, since 4 + 8 + 2 + 0 + 6 + 1 + 14 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37957570497 + ... + 37957570623.

It is an arithmetic number, because the mean of its divisors is an integer number (8689537024).

Almost surely, 2^{4820611461120} is an apocalyptic number.

4820611461120 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 4820611461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10844542205952).

4820611461120 is an abundant number, since it is smaller than the sum of its proper divisors (16868472950784).

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

4820611461120 is a wasteful number, since it uses less digits than its factorization.

4820611461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 4820611461120 in words is "four trillion, eight hundred twenty billion, six hundred eleven million, four hundred sixty-one thousand, one hundred twenty".