4934852477280 has 1152 divisors, whose sum is σ = 20358350078976. Its totient is φ = 1073774592000.

The previous prime is 4934852477267. The next prime is 4934852477281. The reversal of 4934852477280 is 827742584394.

It is a happy number.

4934852477280 is a `hidden beast` number, since 4 + 9 + 3 + 4 + 85 + 2 + 477 + 2 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4934852477281) 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 191 ways as a sum of consecutive naturals, for example, 2483568447 + ... + 2483570433.

It is an arithmetic number, because the mean of its divisors is an integer number (17672178888).

Almost surely, 2^{4934852477280} is an apocalyptic number.

4934852477280 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 4934852477280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10179175039488).

4934852477280 is an abundant number, since it is smaller than the sum of its proper divisors (15423497601696).

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

4934852477280 is a wasteful number, since it uses less digits than its factorization.

4934852477280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 4934852477280 in words is "four trillion, nine hundred thirty-four billion, eight hundred fifty-two million, four hundred seventy-seven thousand, two hundred eighty".