42242100414030 has 192 divisors, whose sum is σ = 120771855360000. Its totient is φ = 10158656981760.

The previous prime is 42242100414001. The next prime is 42242100414049. The reversal of 42242100414030 is 3041400124224.

42242100414030 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 210 + 0 + 41 + 403 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42242100413985 and 42242100414003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1482216721 + ... + 1482245219.

It is an arithmetic number, because the mean of its divisors is an integer number (629020080000).

Almost surely, 2^{42242100414030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42242100414030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60385927680000).

42242100414030 is an abundant number, since it is smaller than the sum of its proper divisors (78529754945970).

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

42242100414030 is a wasteful number, since it uses less digits than its factorization.

42242100414030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40439 (or 40436 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42242100414030 its reverse (3041400124224), we get a palindrome (45283500538254).

The spelling of 42242100414030 in words is "forty-two trillion, two hundred forty-two billion, one hundred million, four hundred fourteen thousand, thirty".