4948416000 has 720 divisors, whose sum is σ = 19866790944. Its totient is φ = 1182720000.

The previous prime is 4948415959. The next prime is 4948416019. The reversal of 4948416000 is 6148494.

It is a happy number.

4948416000 is a `hidden beast` number, since 4 + 9 + 4 + 8 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69695965 + ... + 69696035.

Almost surely, 2^4948416000 is an apocalyptic number.

4948416000 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 4948416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9933395472).

4948416000 is an abundant number, since it is smaller than the sum of its proper divisors (14918374944).

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

4948416000 is a wasteful number, since it uses less digits than its factorization.

4948416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4948416000 is about 70344.9784988239. The cubic root of 4948416000 is about 1704.0751140597.

The spelling of 4948416000 in words is "four billion, nine hundred forty-eight million, four hundred sixteen thousand".