42300382185600 has 1536 divisors, whose sum is σ = 179577283461120. Its totient is φ = 8493465600000.

The previous prime is 42300382185587. The next prime is 42300382185661. The reversal of 42300382185600 is 658128300324.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 26421224800 + ... + 26421226400.

It is an arithmetic number, because the mean of its divisors is an integer number (116912293920).

Almost surely, 2^{42300382185600} is an apocalyptic number.

42300382185600 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 42300382185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89788641730560).

42300382185600 is an abundant number, since it is smaller than the sum of its proper divisors (137276901275520).

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

42300382185600 is a wasteful number, since it uses less digits than its factorization.

42300382185600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 42300382185600 in words is "forty-two trillion, three hundred billion, three hundred eighty-two million, one hundred eighty-five thousand, six hundred".