4830435534400 has 672 divisors, whose sum is σ = 14014097326080. Its totient is φ = 1604828160000.

The previous prime is 4830435534361. The next prime is 4830435534433. The reversal of 4830435534400 is 44355340384.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 17068676659 + ... + 17068676941.

Almost surely, 2^{4830435534400} is an apocalyptic number.

4830435534400 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 4830435534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7007048663040).

4830435534400 is an abundant number, since it is smaller than the sum of its proper divisors (9183661791680).

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

4830435534400 is a wasteful number, since it uses less digits than its factorization.

4830435534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 43.

The spelling of 4830435534400 in words is "four trillion, eight hundred thirty billion, four hundred thirty-five million, five hundred thirty-four thousand, four hundred".