381322210014720 has 3200 divisors, whose sum is σ = 1591188517416960. Its totient is φ = 86443520163840.

The previous prime is 381322210014689. The next prime is 381322210014743. The reversal of 381322210014720 is 27410012223183.

381322210014720 is a `hidden beast` number, since 3 + 81 + 3 + 2 + 2 + 2 + 100 + 1 + 472 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 530350778521 + ... + 530350779239.

Almost surely, 2^{381322210014720} is an apocalyptic number.

381322210014720 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 381322210014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795594258708480).

381322210014720 is an abundant number, since it is smaller than the sum of its proper divisors (1209866307402240).

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

381322210014720 is a wasteful number, since it uses less digits than its factorization.

381322210014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 381322210014720 in words is "three hundred eighty-one trillion, three hundred twenty-two billion, two hundred ten million, fourteen thousand, seven hundred twenty".