482610143070720 has 1920 divisors, whose sum is σ = 2013261745144320. Its totient is φ = 109258348953600.

The previous prime is 482610143070683. The next prime is 482610143070779. The reversal of 482610143070720 is 27070341016284.

482610143070720 is a `hidden beast` number, since 4 + 8 + 2 + 610 + 1 + 4 + 3 + 0 + 7 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 203033294172 + ... + 203033296548.

It is an arithmetic number, because the mean of its divisors is an integer number (1048573825596).

Almost surely, 2^{482610143070720} is an apocalyptic number.

482610143070720 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 482610143070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006630872572160).

482610143070720 is an abundant number, since it is smaller than the sum of its proper divisors (1530651602073600).

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

482610143070720 is a wasteful number, since it uses less digits than its factorization.

482610143070720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 482610143070720 in words is "four hundred eighty-two trillion, six hundred ten billion, one hundred forty-three million, seventy thousand, seven hundred twenty".