381810240000 has 1600 divisors, whose sum is σ = 1656729676800. Its totient is φ = 84989952000.

The previous prime is 381810239981. The next prime is 381810240023. The reversal of 381810240000 is 42018183.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 3568319947 + ... + 3568320053.

It is an arithmetic number, because the mean of its divisors is an integer number (1035456048).

Almost surely, 2^381810240000 is an apocalyptic number.

381810240000 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 381810240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828364838400).

381810240000 is an abundant number, since it is smaller than the sum of its proper divisors (1274919436800).

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

381810240000 is an equidigital number, since it uses as much as digits as its factorization.

381810240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 381810240000 its reverse (42018183), we get a palindrome (381852258183).

The spelling of 381810240000 in words is "three hundred eighty-one billion, eight hundred ten million, two hundred forty thousand".