4930165314000 has 240 divisors, whose sum is σ = 17308656063504. Its totient is φ = 1307897856000.

The previous prime is 4930165313989. The next prime is 4930165314071. The reversal of 4930165314000 is 4135610394.

4930165314000 is a `hidden beast` number, since 4 + 93 + 0 + 165 + 3 + 1 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2820223139904 + 2109942174096 = 1679352^2 + 1452564^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2764420 + ... + 4183580.

Almost surely, 2^{4930165314000} is an apocalyptic number.

4930165314000 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 4930165314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8654328031752).

4930165314000 is an abundant number, since it is smaller than the sum of its proper divisors (12378490749504).

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

4930165314000 is a wasteful number, since it uses less digits than its factorization.

4930165314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419383 (or 1419364 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 4930165314000 in words is "four trillion, nine hundred thirty billion, one hundred sixty-five million, three hundred fourteen thousand".