381444687360 has 480 divisors, whose sum is σ = 1476335820960. Its totient is φ = 90213580800.

The previous prime is 381444687331. The next prime is 381444687361. The reversal of 381444687360 is 63786444183.

381444687360 is a `hidden beast` number, since 3 + 8 + 144 + 468 + 7 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 381444687297 and 381444687306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381444687361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10372686 + ... + 10409394.

It is an arithmetic number, because the mean of its divisors is an integer number (3075699627).

Almost surely, 2^381444687360 is an apocalyptic number.

381444687360 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 381444687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738167910480).

381444687360 is an abundant number, since it is smaller than the sum of its proper divisors (1094891133600).

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

381444687360 is a wasteful number, since it uses less digits than its factorization.

381444687360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36790 (or 36771 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 381444687360 in words is "three hundred eighty-one billion, four hundred forty-four million, six hundred eighty-seven thousand, three hundred sixty".