381519331200 has 3456 divisors, whose sum is σ = 1889429068800. Its totient is φ = 75246796800.

The previous prime is 381519331187. The next prime is 381519331201. The reversal of 381519331200 is 2133915183.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381519331201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 12307075185 + ... + 12307075215.

It is an arithmetic number, because the mean of its divisors is an integer number (546709800).

Almost surely, 2^381519331200 is an apocalyptic number.

381519331200 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 381519331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944714534400).

381519331200 is an abundant number, since it is smaller than the sum of its proper divisors (1507909737600).

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

381519331200 is a wasteful number, since it uses less digits than its factorization.

381519331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 381519331200 in words is "three hundred eighty-one billion, five hundred nineteen million, three hundred thirty-one thousand, two hundred".