4007040406667 has 16 divisors (see below), whose sum is σ = 4140904965120. Its totient is φ = 3873465804000.

The previous prime is 4007040406661. The next prime is 4007040406669. The reversal of 4007040406667 is 7666040407004.

4007040406667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4007040406667 - 2³⁴ = 3989860537483 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4007040406661) 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, 129164684 + ... + 129195702.

It is an arithmetic number, because the mean of its divisors is an integer number (258806560320).

Almost surely, 2^{4007040406667} is an apocalyptic number.

4007040406667 is a deficient number, since it is larger than the sum of its proper divisors (133864558453).

4007040406667 is a wasteful number, since it uses less digits than its factorization.

4007040406667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35554.

The product of its (nonzero) digits is 677376, while the sum is 44.

The spelling of 4007040406667 in words is "four trillion, seven billion, forty million, four hundred six thousand, six hundred sixty-seven".