4805818629120 has 352 divisors, whose sum is σ = 17088732648000. Its totient is φ = 1280822280192.

The previous prime is 4805818629097. The next prime is 4805818629151. The reversal of 4805818629120 is 219268185084.

4805818629120 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 8 + 1 + 8 + 629 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×4805818629120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 269420842 + ... + 269438678.

Almost surely, 2^{4805818629120} is an apocalyptic number.

4805818629120 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 4805818629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8544366324000).

4805818629120 is an abundant number, since it is smaller than the sum of its proper divisors (12282914018880).

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

4805818629120 is a wasteful number, since it uses less digits than its factorization.

4805818629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19820 (or 19796 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 4805818629120 in words is "four trillion, eight hundred five billion, eight hundred eighteen million, six hundred twenty-nine thousand, one hundred twenty".