4920477120 has 336 divisors, whose sum is σ = 19188318240. Its totient is φ = 1147281408.

The previous prime is 4920477097. The next prime is 4920477137. The reversal of 4920477120 is 217740294.

4920477120 is a `hidden beast` number, since 49 + 20 + 477 + 120 = 666.

It is a super-2 number, since 2×4920477120² = 48422190176886988800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707902 + ... + 714818.

It is an arithmetic number, because the mean of its divisors is an integer number (57108090).

Almost surely, 2^4920477120 is an apocalyptic number.

4920477120 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 4920477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9594159120).

4920477120 is an abundant number, since it is smaller than the sum of its proper divisors (14267841120).

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

4920477120 is a wasteful number, since it uses less digits than its factorization.

4920477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6972 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4920477120 is about 70146.1126506665. The cubic root of 4920477120 is about 1700.8619757841.

The spelling of 4920477120 in words is "four billion, nine hundred twenty million, four hundred seventy-seven thousand, one hundred twenty".