407007007007 has 8 divisors (see below), whose sum is σ = 409584518784. Its totient is φ = 404432080288.

The previous prime is 407007006997. The next prime is 407007007031. The reversal of 407007007007 is 700700700704.

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 407007007007 - 2⁸ = 407007006751 is a prime.

It is a super-3 number, since 3×407007007007³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407007007307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329888 + ... + 960645.

It is an arithmetic number, because the mean of its divisors is an integer number (51198064848).

Almost surely, 2^407007007007 is an apocalyptic number.

407007007007 is a deficient number, since it is larger than the sum of its proper divisors (2577511777).

407007007007 is a wasteful number, since it uses less digits than its factorization.

407007007007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292529.

The product of its (nonzero) digits is 9604, while the sum is 32.

The spelling of 407007007007 in words is "four hundred seven billion, seven million, seven thousand, seven".