4000211738117 has 16 divisors (see below), whose sum is σ = 4614589992960. Its totient is φ = 3396566031408.

The previous prime is 4000211738053. The next prime is 4000211738143. The reversal of 4000211738117 is 7118371120004.

It is a cyclic number.

It is not a de Polignac number, because 4000211738117 - 2⁶ = 4000211738053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000211738197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20219684 + ... + 20416562.

It is an arithmetic number, because the mean of its divisors is an integer number (288411874560).

Almost surely, 2^{4000211738117} is an apocalyptic number.

It is an amenable number.

4000211738117 is a deficient number, since it is larger than the sum of its proper divisors (614378254843).

4000211738117 is a wasteful number, since it uses less digits than its factorization.

4000211738117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224120.

The product of its (nonzero) digits is 9408, while the sum is 35.

The spelling of 4000211738117 in words is "four trillion, two hundred eleven million, seven hundred thirty-eight thousand, one hundred seventeen".