4000407674407 has 8 divisors (see below), whose sum is σ = 4041694302800. Its totient is φ = 3959121970944.

The previous prime is 4000407674401. The next prime is 4000407674411. The reversal of 4000407674407 is 7044767040004.

4000407674407 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 4000407674407 - 2¹⁹ = 4000407150119 is a prime.

It is a super-2 number, since 2×4000407674407² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000407674401) 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, 11537944 + ... + 11879602.

It is an arithmetic number, because the mean of its divisors is an integer number (505211787850).

Almost surely, 2^{4000407674407} is an apocalyptic number.

4000407674407 is a deficient number, since it is larger than the sum of its proper divisors (41286628393).

4000407674407 is a wasteful number, since it uses less digits than its factorization.

4000407674407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462465.

The product of its (nonzero) digits is 526848, while the sum is 43.

The spelling of 4000407674407 in words is "four trillion, four hundred seven million, six hundred seventy-four thousand, four hundred seven".