4007681168001 has 16 divisors (see below), whose sum is σ = 6107338472448. Its totient is φ = 2289955122000.

The previous prime is 4007681167979. The next prime is 4007681168059. The reversal of 4007681168001 is 1008611867004.

It is not a de Polignac number, because 4007681168001 - 2¹⁹ = 4007680643713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4007681168501) 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, 5851245 + ... + 6500186.

It is an arithmetic number, because the mean of its divisors is an integer number (381708654528).

Almost surely, 2^{4007681168001} is an apocalyptic number.

It is an amenable number.

4007681168001 is a deficient number, since it is larger than the sum of its proper divisors (2099657304447).

4007681168001 is a wasteful number, since it uses less digits than its factorization.

4007681168001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12366892.

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 4007681168001 in words is "four trillion, seven billion, six hundred eighty-one million, one hundred sixty-eight thousand, one".