42589584449280 has 1440 divisors, whose sum is σ = 177531937228800. Its totient is φ = 9646918041600.

The previous prime is 42589584449239. The next prime is 42589584449327. The reversal of 42589584449280 is 8294448598524.

42589584449280 is a `hidden beast` number, since 4 + 2 + 5 + 8 + 9 + 58 + 4 + 4 + 492 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 42589584449199 and 42589584449208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1025270751 + ... + 1025312289.

It is an arithmetic number, because the mean of its divisors is an integer number (123286067520).

Almost surely, 2^{42589584449280} is an apocalyptic number.

42589584449280 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 42589584449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88765968614400).

42589584449280 is an abundant number, since it is smaller than the sum of its proper divisors (134942352779520).

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

42589584449280 is a wasteful number, since it uses less digits than its factorization.

42589584449280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41643 (or 41620 counting only the distinct ones).

The product of its (nonzero) digits is 1061683200, while the sum is 72.

The spelling of 42589584449280 in words is "forty-two trillion, five hundred eighty-nine billion, five hundred eighty-four million, four hundred forty-nine thousand, two hundred eighty".