4941504960 has 448 divisors, whose sum is σ = 18775680000. Its totient is φ = 1100058624.

The previous prime is 4941504959. The next prime is 4941505001. The reversal of 4941504960 is 694051494.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14158866 + ... + 14159214.

It is an arithmetic number, because the mean of its divisors is an integer number (41910000).

Almost surely, 2^4941504960 is an apocalyptic number.

4941504960 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 4941504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9387840000).

4941504960 is an abundant number, since it is smaller than the sum of its proper divisors (13834175040).

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

4941504960 is a wasteful number, since it uses less digits than its factorization.

4941504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 4941504960 is about 70295.8388526661. The cubic root of 4941504960 is about 1703.2814312494.

The spelling of 4941504960 in words is "four billion, nine hundred forty-one million, five hundred four thousand, nine hundred sixty".