230302141400 has 192 divisors, whose sum is σ = 565617548160. Its totient is φ = 87091200000.

The previous prime is 230302141397. The next prime is 230302141411. The reversal of 230302141400 is 4141203032.

230302141400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 82220000 + ... + 82222800.

It is an arithmetic number, because the mean of its divisors is an integer number (2945924730).

Almost surely, 2^230302141400 is an apocalyptic number.

230302141400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230302141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282808774080).

230302141400 is an abundant number, since it is smaller than the sum of its proper divisors (335315406760).

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

230302141400 is a wasteful number, since it uses less digits than its factorization.

230302141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 230302141400 its reverse (4141203032), we get a palindrome (234443344432).

The spelling of 230302141400 in words is "two hundred thirty billion, three hundred two million, one hundred forty-one thousand, four hundred".