381124060800 has 1536 divisors, whose sum is σ = 1591098163200. Its totient is φ = 78210662400.

The previous prime is 381124060741. The next prime is 381124060819. The reversal of 381124060800 is 8060421183.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3700233549 + ... + 3700233651.

It is an arithmetic number, because the mean of its divisors is an integer number (1035871200).

Almost surely, 2^381124060800 is an apocalyptic number.

381124060800 is a gapful number since it is divisible by the number (30) 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 381124060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795549081600).

381124060800 is an abundant number, since it is smaller than the sum of its proper divisors (1209974102400).

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

381124060800 is a wasteful number, since it uses less digits than its factorization.

381124060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

Adding to 381124060800 its reverse (8060421183), we get a palindrome (389184481983).

The spelling of 381124060800 in words is "three hundred eighty-one billion, one hundred twenty-four million, sixty thousand, eight hundred".