381544986240 has 768 divisors, whose sum is σ = 1547058839040. Its totient is φ = 85612953600.

The previous prime is 381544986209. The next prime is 381544986241. The reversal of 381544986240 is 42689445183.

381544986240 is a `hidden beast` number, since 3 + 8 + 1 + 5 + 4 + 4 + 9 + 8 + 624 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (381544986241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65701417 + ... + 65707223.

It is an arithmetic number, because the mean of its divisors is an integer number (2014399530).

Almost surely, 2^381544986240 is an apocalyptic number.

381544986240 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 381544986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773529419520).

381544986240 is an abundant number, since it is smaller than the sum of its proper divisors (1165513852800).

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

381544986240 is a wasteful number, since it uses less digits than its factorization.

381544986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 381544986240 in words is "three hundred eighty-one billion, five hundred forty-four million, nine hundred eighty-six thousand, two hundred forty".