1014444160 has 64 divisors (see below), whose sum is σ = 2429248320. Its totient is φ = 405093376.

The previous prime is 1014444121. The next prime is 1014444163. The reversal of 1014444160 is 614444101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1014444163) 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, 566787 + ... + 568573.

It is an arithmetic number, because the mean of its divisors is an integer number (37957005).

Almost surely, 2^1014444160 is an apocalyptic number.

1014444160 is a gapful number since it is divisible by the number (10) 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 1014444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214624160).

1014444160 is an abundant number, since it is smaller than the sum of its proper divisors (1414804160).

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

1014444160 is an equidigital number, since it uses as much as digits as its factorization.

1014444160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 1014444160 is about 31850.3400295821. The cubic root of 1014444160 is about 1004.7917227198.

Adding to 1014444160 its reverse (614444101), we get a palindrome (1628888261).

The spelling of 1014444160 in words is "one billion, fourteen million, four hundred forty-four thousand, one hundred sixty".