480966103044 has 360 divisors, whose sum is σ = 1520533586880. Its totient is φ = 132024816000.

The previous prime is 480966103039. The next prime is 480966103061. The reversal of 480966103044 is 440301669084.

480966103044 is a `hidden beast` number, since 480 + 9 + 66 + 103 + 0 + 4 + 4 = 666.

It is a super-3 number, since 3×480966103044³ (a number of 36 digits) contains 333 as substring.

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 119 ways as a sum of consecutive naturals, for example, 97142769 + ... + 97147719.

It is an arithmetic number, because the mean of its divisors is an integer number (4223704408).

Almost surely, 2^480966103044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480966103044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760266793440).

480966103044 is an abundant number, since it is smaller than the sum of its proper divisors (1039567483836).

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

480966103044 is a wasteful number, since it uses less digits than its factorization.

480966103044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 480966103044 in words is "four hundred eighty billion, nine hundred sixty-six million, one hundred three thousand, forty-four".