381042824085 has 288 divisors, whose sum is σ = 864440688384. Its totient is φ = 153425664000.

The previous prime is 381042824081. The next prime is 381042824087. The reversal of 381042824085 is 580428240183.

381042824085 is a `hidden beast` number, since 381 + 0 + 4 + 28 + 240 + 8 + 5 = 666.

It is not a de Polignac number, because 381042824085 - 2² = 381042824081 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 381042824085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381042824081) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 252178480 + ... + 252179990.

It is an arithmetic number, because the mean of its divisors is an integer number (3001530168).

Almost surely, 2^381042824085 is an apocalyptic number.

381042824085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

381042824085 is an abundant number, since it is smaller than the sum of its proper divisors (483397864299).

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

381042824085 is a wasteful number, since it uses less digits than its factorization.

381042824085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 381042824085 in words is "three hundred eighty-one billion, forty-two million, eight hundred twenty-four thousand, eighty-five".