30161841024 has 384 divisors, whose sum is σ = 95777510400. Its totient is φ = 8383205376.

The previous prime is 30161840981. The next prime is 30161841029. The reversal of 30161841024 is 42014816103.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 30161840982 and 30161841000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30161841029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153105694 + ... + 153105890.

It is an arithmetic number, because the mean of its divisors is an integer number (249420600).

Almost surely, 2^30161841024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30161841024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47888755200).

30161841024 is an abundant number, since it is smaller than the sum of its proper divisors (65615669376).

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

30161841024 is a wasteful number, since it uses less digits than its factorization.

30161841024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 30161841024 in words is "thirty billion, one hundred sixty-one million, eight hundred forty-one thousand, twenty-four".