481468419840 has 288 divisors, whose sum is σ = 1569540833280. Its totient is φ = 125758144512.

The previous prime is 481468419833. The next prime is 481468419847. The reversal of 481468419840 is 48914864184.

It is an interprime number because it is at equal distance from previous prime (481468419833) and next prime (481468419847).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481468419847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38520472 + ... + 38532968.

It is an arithmetic number, because the mean of its divisors is an integer number (5449794560).

Almost surely, 2^481468419840 is an apocalyptic number.

481468419840 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 481468419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784770416640).

481468419840 is an abundant number, since it is smaller than the sum of its proper divisors (1088072413440).

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

481468419840 is a wasteful number, since it uses less digits than its factorization.

481468419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12727 (or 12713 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 57.

The spelling of 481468419840 in words is "four hundred eighty-one billion, four hundred sixty-eight million, four hundred nineteen thousand, eight hundred forty".