381818345040 has 240 divisors, whose sum is σ = 1401917789376. Its totient is φ = 92358604800.

The previous prime is 381818345009. The next prime is 381818345059. The reversal of 381818345040 is 40543818183.

381818345040 is a `hidden beast` number, since 3 + 8 + 1 + 81 + 83 + 450 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3566695 + ... + 3672185.

Almost surely, 2^381818345040 is an apocalyptic number.

381818345040 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 381818345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700958894688).

381818345040 is an abundant number, since it is smaller than the sum of its proper divisors (1020099444336).

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

381818345040 is a wasteful number, since it uses less digits than its factorization.

381818345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105978 (or 105969 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 381818345040 in words is "three hundred eighty-one billion, eight hundred eighteen million, three hundred forty-five thousand, forty".