381967228800 has 288 divisors, whose sum is σ = 1413428987880. Its totient is φ = 101857720320.

The previous prime is 381967228781. The next prime is 381967228849. The reversal of 381967228800 is 8822769183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 531994 + ... + 1023206.

Almost surely, 2^381967228800 is an apocalyptic number.

381967228800 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 381967228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706714493940).

381967228800 is an abundant number, since it is smaller than the sum of its proper divisors (1031461759080).

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

381967228800 is an equidigital number, since it uses as much as digits as its factorization.

381967228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491252 (or 491223 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 381967228800 in words is "three hundred eighty-one billion, nine hundred sixty-seven million, two hundred twenty-eight thousand, eight hundred".