4947134613120 has 1152 divisors, whose sum is σ = 20567785006080. Its totient is φ = 1091388211200.

The previous prime is 4947134613073. The next prime is 4947134613143. The reversal of 4947134613120 is 213164317494.

It is a happy number.

4947134613120 is a `hidden beast` number, since 4 + 9 + 4 + 7 + 1 + 3 + 4 + 613 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×4947134613120² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6500833540 + ... + 6500834300.

It is an arithmetic number, because the mean of its divisors is an integer number (17853980040).

Almost surely, 2^{4947134613120} is an apocalyptic number.

4947134613120 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 4947134613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10283892503040).

4947134613120 is an abundant number, since it is smaller than the sum of its proper divisors (15620650392960).

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

4947134613120 is a wasteful number, since it uses less digits than its factorization.

4947134613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 4947134613120 in words is "four trillion, nine hundred forty-seven billion, one hundred thirty-four million, six hundred thirteen thousand, one hundred twenty".