4230838886400 has 2016 divisors, whose sum is σ = 18482351696640. Its totient is φ = 904176599040.

The previous prime is 4230838886399. The next prime is 4230838886401. The reversal of 4230838886400 is 46888380324.

4230838886400 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 83 + 88 + 86 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (4230838886399) and next prime (4230838886401).

It is a tau number, because it is divible by the number of its divisors (2016).

It is not an unprimeable number, because it can be changed into a prime (4230838886401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15728025466 + ... + 15728025734.

Almost surely, 2^{4230838886400} is an apocalyptic number.

4230838886400 is a gapful number since it is divisible by the number (40) 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 4230838886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241175848320).

4230838886400 is an abundant number, since it is smaller than the sum of its proper divisors (14251512810240).

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

4230838886400 is a wasteful number, since it uses less digits than its factorization.

4230838886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 4230838886400 in words is "four trillion, two hundred thirty billion, eight hundred thirty-eight million, eight hundred eighty-six thousand, four hundred".