1014014144 has 112 divisors (see below), whose sum is σ = 2389546656. Its totient is φ = 420864000.

The previous prime is 1014014137. The next prime is 1014014159. The reversal of 1014014144 is 4414104101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 923804 + ... + 924900.

It is an arithmetic number, because the mean of its divisors is an integer number (21335238).

Almost surely, 2^1014014144 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 1014014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194773328).

1014014144 is an abundant number, since it is smaller than the sum of its proper divisors (1375532512).

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

1014014144 is a wasteful number, since it uses less digits than its factorization.

1014014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1014014144 is about 31843.5887424769. The cubic root of 1014014144 is about 1004.6497278552.

Adding to 1014014144 its reverse (4414104101), we get a palindrome (5428118245).

The spelling of 1014014144 in words is "one billion, fourteen million, fourteen thousand, one hundred forty-four".