42530080320000 has 6000 divisors, whose sum is σ = 209466622474560. Its totient is φ = 8384643072000.

The previous prime is 42530080319999. The next prime is 42530080320023. The reversal of 42530080320000 is 2308003524.

42530080320000 is a `hidden beast` number, since 425 + 30 + 0 + 8 + 0 + 3 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6000).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 582603839964 + ... + 582603840036.

Almost surely, 2^{42530080320000} is an apocalyptic number.

42530080320000 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 42530080320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104733311237280).

42530080320000 is an abundant number, since it is smaller than the sum of its proper divisors (166936542154560).

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

42530080320000 is an equidigital number, since it uses as much as digits as its factorization.

42530080320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 42530080320000 its reverse (2308003524), we get a palindrome (42532388323524).

The spelling of 42530080320000 in words is "forty-two trillion, five hundred thirty billion, eighty million, three hundred twenty thousand".