1416342144 has 64 divisors (see below), whose sum is σ = 4299618240. Its totient is φ = 404668416.

The previous prime is 1416342143. The next prime is 1416342157. The reversal of 1416342144 is 4412436141.

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

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

It is not an unprimeable number, because it can be changed into a prime (1416342143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260769 + ... + 266144.

It is an arithmetic number, because the mean of its divisors is an integer number (67181535).

Almost surely, 2^1416342144 is an apocalyptic number.

1416342144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1416342144 is an abundant number, since it is smaller than the sum of its proper divisors (2883276096).

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

1416342144 is an equidigital number, since it uses as much as digits as its factorization.

1416342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526937 (or 526925 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 1416342144 is about 37634.3213569741. The cubic root of 1416342144 is about 1123.0249181245.

Adding to 1416342144 its reverse (4412436141), we get a palindrome (5828778285).

The spelling of 1416342144 in words is "one billion, four hundred sixteen million, three hundred forty-two thousand, one hundred forty-four".