381776742144 has 432 divisors, whose sum is σ = 1277374285824. Its totient is φ = 107412480000.

The previous prime is 381776742107. The next prime is 381776742169. The reversal of 381776742144 is 441247677183.

It is a happy number.

381776742144 is a `hidden beast` number, since 3 + 8 + 177 + 6 + 7 + 421 + 44 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363250419 + ... + 363251469.

Almost surely, 2^381776742144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381776742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638687142912).

381776742144 is an abundant number, since it is smaller than the sum of its proper divisors (895597543680).

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

381776742144 is a wasteful number, since it uses less digits than its factorization.

381776742144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1387 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The spelling of 381776742144 in words is "three hundred eighty-one billion, seven hundred seventy-six million, seven hundred forty-two thousand, one hundred forty-four".