4556631729120 has 192 divisors, whose sum is σ = 14429908684800. Its totient is φ = 1208627785728.

The previous prime is 4556631729047. The next prime is 4556631729187. The reversal of 4556631729120 is 219271366554.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479792212 + ... + 479801708.

It is an arithmetic number, because the mean of its divisors is an integer number (75155774400).

Almost surely, 2^{4556631729120} is an apocalyptic number.

4556631729120 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 4556631729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7214954342400).

4556631729120 is an abundant number, since it is smaller than the sum of its proper divisors (9873276955680).

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

4556631729120 is a wasteful number, since it uses less digits than its factorization.

4556631729120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14737 (or 14729 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 4556631729120 in words is "four trillion, five hundred fifty-six billion, six hundred thirty-one million, seven hundred twenty-nine thousand, one hundred twenty".