30201334400 has 96 divisors (see below), whose sum is σ = 74849093280. Its totient is φ = 12041292800.

The previous prime is 30201334391. The next prime is 30201334403. The reversal of 30201334400 is 443310203.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (30201334403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 980027 + ... + 1010373.

It is an arithmetic number, because the mean of its divisors is an integer number (779678055).

Almost surely, 2^30201334400 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 30201334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37424546640).

30201334400 is an abundant number, since it is smaller than the sum of its proper divisors (44647758880).

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

30201334400 is a wasteful number, since it uses less digits than its factorization.

30201334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30682 (or 30665 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 30201334400 its reverse (443310203), we get a palindrome (30644644603).

The spelling of 30201334400 in words is "thirty billion, two hundred one million, three hundred thirty-four thousand, four hundred".