4000375344667 has 8 divisors (see below), whose sum is σ = 4447067381120. Its totient is φ = 3573536287680.

The previous prime is 4000375344599. The next prime is 4000375344677. The reversal of 4000375344667 is 7664435730004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4000375344667 - 2¹⁵ = 4000375311899 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4000375344667.

It is not an unprimeable number, because it can be changed into a prime (4000375344677) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4963244442 + ... + 4963245247.

It is an arithmetic number, because the mean of its divisors is an integer number (555883422640).

Almost surely, 2^{4000375344667} is an apocalyptic number.

4000375344667 is a deficient number, since it is larger than the sum of its proper divisors (446692036453).

4000375344667 is a wasteful number, since it uses less digits than its factorization.

4000375344667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9926489733.

The product of its (nonzero) digits is 5080320, while the sum is 49.

The spelling of 4000375344667 in words is "four trillion, three hundred seventy-five million, three hundred forty-four thousand, six hundred sixty-seven".