380821841280 has 1024 divisors, whose sum is σ = 1456227072000. Its totient is φ = 93833625600.

The previous prime is 380821841137. The next prime is 380821841321. The reversal of 380821841280 is 82148128083.

It is a happy number.

380821841280 is a `hidden beast` number, since 3 + 80 + 82 + 1 + 8 + 412 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2127496231 + ... + 2127496409.

It is an arithmetic number, because the mean of its divisors is an integer number (1422096750).

Almost surely, 2^380821841280 is an apocalyptic number.

380821841280 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 380821841280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728113536000).

380821841280 is an abundant number, since it is smaller than the sum of its proper divisors (1075405230720).

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

380821841280 is a wasteful number, since it uses less digits than its factorization.

380821841280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 380821841280 in words is "three hundred eighty billion, eight hundred twenty-one million, eight hundred forty-one thousand, two hundred eighty".