1406200442166 has 160 divisors (see below), whose sum is σ = 3544987235328. Its totient is φ = 413673324480.

The previous prime is 1406200442161. The next prime is 1406200442219. The reversal of 1406200442166 is 6612440026041.

1406200442166 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 200 + 442 + 1 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1406200442166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406200442161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5288985 + ... + 5548491.

Almost surely, 2^{1406200442166} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406200442166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772493617664).

1406200442166 is an abundant number, since it is smaller than the sum of its proper divisors (2138786793162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1406200442166 is a wasteful number, since it uses less digits than its factorization.

1406200442166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259648 (or 259639 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1406200442166 in words is "one trillion, four hundred six billion, two hundred million, four hundred forty-two thousand, one hundred sixty-six".