42142302024030 has 864 divisors, whose sum is σ = 132870094707168. Its totient is φ = 9601580851200.

The previous prime is 42142302024001. The next prime is 42142302024041. The reversal of 42142302024030 is 3042020324124.

42142302024030 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 230 + 20 + 2 + 403 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42142302023985 and 42142302024003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7239698520 + ... + 7239704340.

It is an arithmetic number, because the mean of its divisors is an integer number (153784831837).

Almost surely, 2^{42142302024030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42142302024030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66435047353584).

42142302024030 is an abundant number, since it is smaller than the sum of its proper divisors (90727792683138).

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

42142302024030 is a wasteful number, since it uses less digits than its factorization.

42142302024030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5964 (or 5922 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42142302024030 its reverse (3042020324124), we get a palindrome (45184322348154).

The spelling of 42142302024030 in words is "forty-two trillion, one hundred forty-two billion, three hundred two million, twenty-four thousand, thirty".