1413672138144 has 144 divisors (see below), whose sum is σ = 4597347186432. Its totient is φ = 403650261504.

The previous prime is 1413672138121. The next prime is 1413672138167. The reversal of 1413672138144 is 4418312763141.

1413672138144 is a `hidden beast` number, since 1 + 413 + 6 + 7 + 213 + 8 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1413672138121) and next prime (1413672138167).

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1413672138144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2969842 + ... + 3412814.

It is an arithmetic number, because the mean of its divisors is an integer number (31926022128).

Almost surely, 2^{1413672138144} is an apocalyptic number.

1413672138144 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 1413672138144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298673593216).

1413672138144 is an abundant number, since it is smaller than the sum of its proper divisors (3183675048288).

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

1413672138144 is a wasteful number, since it uses less digits than its factorization.

1413672138144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444579 (or 444568 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 1413672138144 in words is "one trillion, four hundred thirteen billion, six hundred seventy-two million, one hundred thirty-eight thousand, one hundred forty-four".