482511318051840 has 1056 divisors, whose sum is σ = 1968399029101824. Its totient is φ = 99752810250240.

The previous prime is 482511318051823. The next prime is 482511318051907. The reversal of 482511318051840 is 48150813115284.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1630822959 + ... + 1631118801.

It is an arithmetic number, because the mean of its divisors is an integer number (1864014232104).

Almost surely, 2^{482511318051840} is an apocalyptic number.

482511318051840 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 482511318051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984199514550912).

482511318051840 is an abundant number, since it is smaller than the sum of its proper divisors (1485887711049984).

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

482511318051840 is a wasteful number, since it uses less digits than its factorization.

482511318051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296093 (or 296068 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 51.

The spelling of 482511318051840 in words is "four hundred eighty-two trillion, five hundred eleven billion, three hundred eighteen million, fifty-one thousand, eight hundred forty".