401072661 has 32 divisors (see below), whose sum is σ = 651139200. Its totient is φ = 241971840.

The previous prime is 401072641. The next prime is 401072669. The reversal of 401072661 is 166270104.

It is not a de Polignac number, because 401072661 - 2⁷ = 401072533 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401072669) 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 31 ways as a sum of consecutive naturals, for example, 65065 + ... + 70961.

It is an arithmetic number, because the mean of its divisors is an integer number (20348100).

Almost surely, 2^401072661 is an apocalyptic number.

It is an amenable number.

401072661 is a deficient number, since it is larger than the sum of its proper divisors (250066539).

401072661 is a wasteful number, since it uses less digits than its factorization.

401072661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146 (or 6140 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 401072661 is about 20026.7985709149. The cubic root of 401072661 is about 737.4643313593.

It can be divided in two parts, 40 and 1072661, that added together give a palindrome (1072701).

The spelling of 401072661 in words is "four hundred one million, seventy-two thousand, six hundred sixty-one".