230021240400 has 600 divisors, whose sum is σ = 998974722240. Its totient is φ = 49482731520.

The previous prime is 230021240389. The next prime is 230021240411. The reversal of 230021240400 is 4042120032.

230021240400 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 21 + 240 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (230021240389) and next prime (230021240411).

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3825771 + ... + 3885429.

Almost surely, 2^230021240400 is an apocalyptic number.

230021240400 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 230021240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499487361120).

230021240400 is an abundant number, since it is smaller than the sum of its proper divisors (768953481840).

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

230021240400 is a wasteful number, since it uses less digits than its factorization.

230021240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59713 (or 59693 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 230021240400 its reverse (4042120032), we get a palindrome (234063360432).

The spelling of 230021240400 in words is "two hundred thirty billion, twenty-one million, two hundred forty thousand, four hundred".