4938480144 has 480 divisors, whose sum is σ = 17057122560. Its totient is φ = 1360060416.

The previous prime is 4938480139. The next prime is 4938480191. The reversal of 4938480144 is 4410848394.

4938480144 is a `hidden beast` number, since 493 + 84 + 80 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×4938480144² = 48777172265364521472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4938480144.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28546042 + ... + 28546214.

It is an arithmetic number, because the mean of its divisors is an integer number (35535672).

Almost surely, 2^4938480144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4938480144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8528561280).

4938480144 is an abundant number, since it is smaller than the sum of its proper divisors (12118642416).

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

4938480144 is a wasteful number, since it uses less digits than its factorization.

4938480144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4938480144 is about 70274.3206584027. The cubic root of 4938480144 is about 1702.9338202435.

The spelling of 4938480144 in words is "four billion, nine hundred thirty-eight million, four hundred eighty thousand, one hundred forty-four".