238832400000 has 384 divisors, whose sum is σ = 820409990400. Its totient is φ = 61483520000.

The previous prime is 238832399983. The next prime is 238832400011. The reversal of 238832400000 is 4238832.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 34796569 + ... + 34803431.

It is an arithmetic number, because the mean of its divisors is an integer number (2136484350).

Almost surely, 2^238832400000 is an apocalyptic number.

238832400000 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 238832400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410204995200).

238832400000 is an abundant number, since it is smaller than the sum of its proper divisors (581577590400).

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

238832400000 is an frugal number, since it uses more digits than its factorization.

238832400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6934 (or 6902 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 238832400000 its reverse (4238832), we get a palindrome (238836638832).

The spelling of 238832400000 in words is "two hundred thirty-eight billion, eight hundred thirty-two million, four hundred thousand".