4927312797120 has 1344 divisors, whose sum is σ = 21143245455360. Its totient is φ = 1057969963008.

The previous prime is 4927312797107. The next prime is 4927312797133. The reversal of 4927312797120 is 217972137294.

4927312797120 is a `hidden beast` number, since 49 + 273 + 127 + 97 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (4927312797107) and next prime (4927312797133).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×4927312797120² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2772825672 + ... + 2772827448.

It is an arithmetic number, because the mean of its divisors is an integer number (15731581440).

Almost surely, 2^{4927312797120} is an apocalyptic number.

4927312797120 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 4927312797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10571622727680).

4927312797120 is an abundant number, since it is smaller than the sum of its proper divisors (16215932658240).

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

4927312797120 is a wasteful number, since it uses less digits than its factorization.

4927312797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 4927312797120 in words is "four trillion, nine hundred twenty-seven billion, three hundred twelve million, seven hundred ninety-seven thousand, one hundred twenty".