4000400667 has 6 divisors (see below), whose sum is σ = 5778356532. Its totient is φ = 2666933772.

The previous prime is 4000400633. The next prime is 4000400683. The reversal of 4000400667 is 7660040004.

It is a de Polignac number, because none of the positive numbers 2^k-4000400667 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4000400667.

It is not an unprimeable number, because it can be changed into a prime (4000400167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222244473 + ... + 222244490.

It is an arithmetic number, because the mean of its divisors is an integer number (963059422).

Almost surely, 2^4000400667 is an apocalyptic number.

4000400667 is a deficient number, since it is larger than the sum of its proper divisors (1777955865).

4000400667 is a wasteful number, since it uses less digits than its factorization.

4000400667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444488969 (or 444488966 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4000400667 is about 63248.7206748089. The cubic root of 4000400667 is about 1587.4540518001.

The spelling of 4000400667 in words is "four billion, four hundred thousand, six hundred sixty-seven".