4406400667 has 32 divisors (see below), whose sum is σ = 4766920704. Its totient is φ = 4065638400.

The previous prime is 4406400659. The next prime is 4406400671. The reversal of 4406400667 is 7660046044.

It is a cyclic number.

It is not a de Polignac number, because 4406400667 - 2³ = 4406400659 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4406401667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12698388 + ... + 12698734.

It is an arithmetic number, because the mean of its divisors is an integer number (148966272).

Almost surely, 2^4406400667 is an apocalyptic number.

4406400667 is a deficient number, since it is larger than the sum of its proper divisors (360520037).

4406400667 is a wasteful number, since it uses less digits than its factorization.

4406400667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619.

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 4406400667 is about 66380.7251165577. The cubic root of 4406400667 is about 1639.4367323776.

The spelling of 4406400667 in words is "four billion, four hundred six million, four hundred thousand, six hundred sixty-seven".