4934023829280 has 1152 divisors, whose sum is σ = 22055235890688. Its totient is φ = 974727806976.

The previous prime is 4934023829269. The next prime is 4934023829299. The reversal of 4934023829280 is 829283204394.

4934023829280 is a `hidden beast` number, since 4 + 9 + 3 + 40 + 238 + 292 + 80 = 666.

It is a super-2 number, since 2×4934023829280² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 438847339 + ... + 438858581.

It is an arithmetic number, because the mean of its divisors is an integer number (19145170044).

Almost surely, 2^{4934023829280} is an apocalyptic number.

4934023829280 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 4934023829280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11027617945344).

4934023829280 is an abundant number, since it is smaller than the sum of its proper divisors (17121212061408).

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

4934023829280 is a wasteful number, since it uses less digits than its factorization.

4934023829280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11498 (or 11487 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 4934023829280 in words is "four trillion, nine hundred thirty-four billion, twenty-three million, eight hundred twenty-nine thousand, two hundred eighty".