381538866240 has 896 divisors, whose sum is σ = 1714565836800. Its totient is φ = 77755023360.

The previous prime is 381538866187. The next prime is 381538866271. The reversal of 381538866240 is 42668835183.

381538866240 is a `hidden beast` number, since 3 + 8 + 1 + 5 + 3 + 8 + 8 + 6 + 624 + 0 = 666.

It is a super-2 number, since 2×381538866240² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 19525275 + ... + 19544805.

Almost surely, 2^381538866240 is an apocalyptic number.

381538866240 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 381538866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857282918400).

381538866240 is an abundant number, since it is smaller than the sum of its proper divisors (1333026970560).

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

381538866240 is a wasteful number, since it uses less digits than its factorization.

381538866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19600 (or 19584 counting only the distinct ones).

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

The spelling of 381538866240 in words is "three hundred eighty-one billion, five hundred thirty-eight million, eight hundred sixty-six thousand, two hundred forty".