484742243040 has 576 divisors, whose sum is σ = 1758705177600. Its totient is φ = 111994122240.

The previous prime is 484742243033. The next prime is 484742243057. The reversal of 484742243040 is 40342247484.

It is a junction number, because it is equal to n+sod(n) for n = 484742242983 and 484742243001.

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 95 ways as a sum of consecutive naturals, for example, 133059459 + ... + 133063101.

It is an arithmetic number, because the mean of its divisors is an integer number (3053307600).

Almost surely, 2^484742243040 is an apocalyptic number.

484742243040 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 484742243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879352588800).

484742243040 is an abundant number, since it is smaller than the sum of its proper divisors (1273962934560).

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

484742243040 is a wasteful number, since it uses less digits than its factorization.

484742243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 42.

The spelling of 484742243040 in words is "four hundred eighty-four billion, seven hundred forty-two million, two hundred forty-three thousand, forty".