483129123840 has 1056 divisors, whose sum is σ = 1972705363200. Its totient is φ = 108091146240.

The previous prime is 483129123833. The next prime is 483129123877. The reversal of 483129123840 is 48321921384.

483129123840 is a `hidden beast` number, since 483 + 1 + 2 + 9 + 123 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 338088246 + ... + 338089674.

It is an arithmetic number, because the mean of its divisors is an integer number (1868092200).

Almost surely, 2^483129123840 is an apocalyptic number.

483129123840 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 483129123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986352681600).

483129123840 is an abundant number, since it is smaller than the sum of its proper divisors (1489576239360).

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

483129123840 is a wasteful number, since it uses less digits than its factorization.

483129123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 483129123840 in words is "four hundred eighty-three billion, one hundred twenty-nine million, one hundred twenty-three thousand, eight hundred forty".