406402101441 has 16 divisors (see below), whose sum is σ = 688088214400. Its totient is φ = 232229772144.

The previous prime is 406402101419. The next prime is 406402101461. The reversal of 406402101441 is 144101204604.

406402101441 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 0 + 210 + 1 + 441 = 666.

It is not a de Polignac number, because 406402101441 - 2¹¹ = 406402099393 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406402101461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1075137646 + ... + 1075138023.

It is an arithmetic number, because the mean of its divisors is an integer number (43005513400).

Almost surely, 2^406402101441 is an apocalyptic number.

It is an amenable number.

406402101441 is a deficient number, since it is larger than the sum of its proper divisors (281686112959).

406402101441 is a wasteful number, since it uses less digits than its factorization.

406402101441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150275685 (or 2150275679 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 406402101441 in words is "four hundred six billion, four hundred two million, one hundred one thousand, four hundred forty-one".