1406412055168 has 64 divisors (see below), whose sum is σ = 2844102777120. Its totient is φ = 692601338880.

The previous prime is 1406412055163. The next prime is 1406412055177. The reversal of 1406412055168 is 8615502146041.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1406412055163) 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 7 ways as a sum of consecutive naturals, for example, 96567055 + ... + 96581617.

Almost surely, 2^{1406412055168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406412055168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422051388560).

1406412055168 is an abundant number, since it is smaller than the sum of its proper divisors (1437690721952).

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

1406412055168 is a wasteful number, since it uses less digits than its factorization.

1406412055168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25905 (or 25893 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 1406412055168 in words is "one trillion, four hundred six billion, four hundred twelve million, fifty-five thousand, one hundred sixty-eight".