30018809142 has 384 divisors, whose sum is σ = 83921510400. Its totient is φ = 8024365440.

The previous prime is 30018809141. The next prime is 30018809143. The reversal of 30018809142 is 24190881003.

It is an interprime number because it is at equal distance from previous prime (30018809141) and next prime (30018809143).

It is a super-2 number, since 2×30018809142² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30018809097 and 30018809106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30018809141) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 191202528 + ... + 191202684.

It is an arithmetic number, because the mean of its divisors is an integer number (218545600).

Almost surely, 2^30018809142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30018809142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41960755200).

30018809142 is an abundant number, since it is smaller than the sum of its proper divisors (53902701258).

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

30018809142 is a wasteful number, since it uses less digits than its factorization.

30018809142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

It can be divided in two parts, 30018 and 809142, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 30018809142 in words is "thirty billion, eighteen million, eight hundred nine thousand, one hundred forty-two".