1406144105604 has 144 divisors (see below), whose sum is σ = 4116249446400. Its totient is φ = 396415850688.

The previous prime is 1406144105603. The next prime is 1406144105609. The reversal of 1406144105604 is 4065014416041.

1406144105604 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 1 + 4 + 41 + 0 + 5 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1406144105603) 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 47 ways as a sum of consecutive naturals, for example, 32209239 + ... + 32252865.

It is an arithmetic number, because the mean of its divisors is an integer number (28585065600).

Almost surely, 2^{1406144105604} is an apocalyptic number.

1406144105604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406144105604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058124723200).

1406144105604 is an abundant number, since it is smaller than the sum of its proper divisors (2710105340796).

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

1406144105604 is a wasteful number, since it uses less digits than its factorization.

1406144105604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45342 (or 45337 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1406144105604 in words is "one trillion, four hundred six billion, one hundred forty-four million, one hundred five thousand, six hundred four".