4067236274805 has 384 divisors, whose sum is σ = 8615997112320. Its totient is φ = 1752710400000.

The previous prime is 4067236274797. The next prime is 4067236274813. The reversal of 4067236274805 is 5084726327604.

4067236274805 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 2 + 3 + 627 + 4 + 8 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (4067236274797) and next prime (4067236274813).

It is not a de Polignac number, because 4067236274805 - 2³ = 4067236274797 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1262723095 + ... + 1262726315.

It is an arithmetic number, because the mean of its divisors is an integer number (22437492480).

Almost surely, 2^{4067236274805} is an apocalyptic number.

4067236274805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4067236274805 is an abundant number, since it is smaller than the sum of its proper divisors (4548760837515).

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

4067236274805 is a wasteful number, since it uses less digits than its factorization.

4067236274805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 4067236274805 in words is "four trillion, sixty-seven billion, two hundred thirty-six million, two hundred seventy-four thousand, eight hundred five".