1014320214144 has 384 divisors, whose sum is σ = 3050330400000. Its totient is φ = 323263070208.

The previous prime is 1014320214121. The next prime is 1014320214163. The reversal of 1014320214144 is 4414120234101.

1014320214144 is a `hidden beast` number, since 1 + 0 + 1 + 43 + 202 + 1 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1014320214144² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812105232 + ... + 812106480.

It is an arithmetic number, because the mean of its divisors is an integer number (7943568750).

Almost surely, 2^{1014320214144} 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 1014320214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525165200000).

1014320214144 is an abundant number, since it is smaller than the sum of its proper divisors (2036010185856).

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

1014320214144 is a wasteful number, since it uses less digits than its factorization.

1014320214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1637 counting only the distinct ones).

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

Adding to 1014320214144 its reverse (4414120234101), we get a palindrome (5428440448245).

The spelling of 1014320214144 in words is "one trillion, fourteen billion, three hundred twenty million, two hundred fourteen thousand, one hundred forty-four".