4978115520 has 448 divisors, whose sum is σ = 19226296320. Its totient is φ = 1065996288.

The previous prime is 4978115509. The next prime is 4978115537. The reversal of 4978115520 is 255118794.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16215207 + ... + 16215513.

It is an arithmetic number, because the mean of its divisors is an integer number (42915840).

Almost surely, 2^4978115520 is an apocalyptic number.

4978115520 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 4978115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9613148160).

4978115520 is an abundant number, since it is smaller than the sum of its proper divisors (14248180800).

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

4978115520 is a wasteful number, since it uses less digits than its factorization.

4978115520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The square root of 4978115520 is about 70555.7617774764. The cubic root of 4978115520 is about 1707.4775023528.

The spelling of 4978115520 in words is "four billion, nine hundred seventy-eight million, one hundred fifteen thousand, five hundred twenty".