480607793862144 has 1440 divisors, whose sum is σ = 1519348495785120. Its totient is φ = 134810154565632.

The previous prime is 480607793862143. The next prime is 480607793862269. The reversal of 480607793862144 is 441268397706084.

It is a super-3 number, since 3×480607793862144³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480607793862143) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 336324557622 + ... + 336324559050.

It is an arithmetic number, because the mean of its divisors is an integer number (1055103122073).

Almost surely, 2^{480607793862144} 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 480607793862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759674247892560).

480607793862144 is an abundant number, since it is smaller than the sum of its proper divisors (1038740701922976).

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

480607793862144 is a wasteful number, since it uses less digits than its factorization.

480607793862144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 69.

The spelling of 480607793862144 in words is "four hundred eighty trillion, six hundred seven billion, seven hundred ninety-three million, eight hundred sixty-two thousand, one hundred forty-four".