381329820748800 has 3168 divisors, whose sum is σ = 1869170060459520. Its totient is φ = 74574751334400.

The previous prime is 381329820748771. The next prime is 381329820748829. The reversal of 381329820748800 is 8847028923183.

381329820748800 is a `hidden beast` number, since 38 + 1 + 32 + 98 + 2 + 0 + 7 + 488 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (381329820748771) and next prime (381329820748829).

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8143003786 + ... + 8143050614.

Almost surely, 2^{381329820748800} is an apocalyptic number.

381329820748800 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 381329820748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934585030229760).

381329820748800 is an abundant number, since it is smaller than the sum of its proper divisors (1487840239710720).

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

381329820748800 is a wasteful number, since it uses less digits than its factorization.

381329820748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46909 (or 46874 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 381329820748800 in words is "three hundred eighty-one trillion, three hundred twenty-nine billion, eight hundred twenty million, seven hundred forty-eight thousand, eight hundred".