30401204020 has 144 divisors (see below), whose sum is σ = 73329656400. Its totient is φ = 10565632000.

The previous prime is 30401203997. The next prime is 30401204051. The reversal of 30401204020 is 2040210403.

It can be written as a sum of positive squares in 8 ways, for example, as 7103455524 + 23297748496 = 84282^2 + 152636^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30401203985 and 30401204003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7086036 + ... + 7090324.

It is an arithmetic number, because the mean of its divisors is an integer number (509233725).

Almost surely, 2^30401204020 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 30401204020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36664828200).

30401204020 is an abundant number, since it is smaller than the sum of its proper divisors (42928452380).

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

30401204020 is a wasteful number, since it uses less digits than its factorization.

30401204020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 30401204020 its reverse (2040210403), we get a palindrome (32441414423).

The spelling of 30401204020 in words is "thirty billion, four hundred one million, two hundred four thousand, twenty".