4958181720000 has 420 divisors, whose sum is σ = 18416757294936. Its totient is φ = 1322179200000.

The previous prime is 4958181719977. The next prime is 4958181720073. The reversal of 4958181720000 is 271818594.

4958181720000 is a `hidden beast` number, since 49 + 581 + 8 + 1 + 7 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9464950 + ... + 9975050.

Almost surely, 2^{4958181720000} is an apocalyptic number.

4958181720000 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 4958181720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9208378647468).

4958181720000 is an abundant number, since it is smaller than the sum of its proper divisors (13458575574936).

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

4958181720000 is an frugal number, since it uses more digits than its factorization.

4958181720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510148 (or 510111 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 4958181720000 in words is "four trillion, nine hundred fifty-eight billion, one hundred eighty-one million, seven hundred twenty thousand".