4978821120 has 576 divisors, whose sum is σ = 19855704960. Its totient is φ = 1042808832.

The previous prime is 4978821083. The next prime is 4978821167. The reversal of 4978821120 is 211288794.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36341692 + ... + 36341828.

It is an arithmetic number, because the mean of its divisors is an integer number (34471710).

Almost surely, 2^4978821120 is an apocalyptic number.

4978821120 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 4978821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9927852480).

4978821120 is an abundant number, since it is smaller than the sum of its proper divisors (14876883840).

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

4978821120 is a wasteful number, since it uses less digits than its factorization.

4978821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 4978821120 is about 70560.7619006484. The cubic root of 4978821120 is about 1707.5581713799.

The spelling of 4978821120 in words is "four billion, nine hundred seventy-eight million, eight hundred twenty-one thousand, one hundred twenty".