4958248014720 has 4096 divisors, whose sum is σ = 25046964633600. Its totient is φ = 900851466240.

The previous prime is 4958248014719. The next prime is 4958248014721. The reversal of 4958248014720 is 274108428594.

4958248014720 is a `hidden beast` number, since 4 + 9 + 5 + 82 + 480 + 14 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4958248014719) and next prime (4958248014721).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4958248014721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 48138330189 + ... + 48138330291.

It is an arithmetic number, because the mean of its divisors is an integer number (6114981600).

Almost surely, 2^{4958248014720} is an apocalyptic number.

4958248014720 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 4958248014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12523482316800).

4958248014720 is an abundant number, since it is smaller than the sum of its proper divisors (20088716618880).

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

4958248014720 is a wasteful number, since it uses less digits than its factorization.

4958248014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 4958248014720 in words is "four trillion, nine hundred fifty-eight billion, two hundred forty-eight million, fourteen thousand, seven hundred twenty".