401122667 has 16 divisors (see below), whose sum is σ = 464113152. Its totient is φ = 342625920.

The previous prime is 401122627. The next prime is 401122703. The reversal of 401122667 is 766221104.

It is a cyclic number.

It is not a de Polignac number, because 401122667 - 2²⁸ = 132687211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401122627) 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 15 ways as a sum of consecutive naturals, for example, 137498 + ... + 140384.

It is an arithmetic number, because the mean of its divisors is an integer number (29007072).

Almost surely, 2^401122667 is an apocalyptic number.

401122667 is a deficient number, since it is larger than the sum of its proper divisors (62990485).

401122667 is a wasteful number, since it uses less digits than its factorization.

401122667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 401122667 is about 20028.0470091320. The cubic root of 401122667 is about 737.4949792630.

The spelling of 401122667 in words is "four hundred one million, one hundred twenty-two thousand, six hundred sixty-seven".