230040434000 has 480 divisors, whose sum is σ = 636171853824. Its totient is φ = 80259379200.

The previous prime is 230040433981. The next prime is 230040434017. The reversal of 230040434000 is 434040032.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 987297884 + ... + 987298116.

Almost surely, 2^230040434000 is an apocalyptic number.

230040434000 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 230040434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318085926912).

230040434000 is an abundant number, since it is smaller than the sum of its proper divisors (406131419824).

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

230040434000 is a wasteful number, since it uses less digits than its factorization.

230040434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 230040434000 its reverse (434040032), we get a palindrome (230474474032).

The spelling of 230040434000 in words is "two hundred thirty billion, forty million, four hundred thirty-four thousand".