4005065141451 has 48 divisors (see below), whose sum is σ = 6502694085888. Its totient is φ = 2354015649600.

The previous prime is 4005065141423. The next prime is 4005065141489. The reversal of 4005065141451 is 1541415605004.

4005065141451 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 0 + 65 + 141 + 451 = 666.

It is not a de Polignac number, because 4005065141451 - 2⁶ = 4005065141387 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4005065141551) 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 47 ways as a sum of consecutive naturals, for example, 656215 + ... + 2905296.

It is an arithmetic number, because the mean of its divisors is an integer number (135472793456).

Almost surely, 2^{4005065141451} is an apocalyptic number.

4005065141451 is a deficient number, since it is larger than the sum of its proper divisors (2497628944437).

4005065141451 is a wasteful number, since it uses less digits than its factorization.

4005065141451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561872 (or 3561869 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 4005065141451 in words is "four trillion, five billion, sixty-five million, one hundred forty-one thousand, four hundred fifty-one".