1144014000 has 80 divisors (see below), whose sum is σ = 3688320480. Its totient is φ = 305068800.

The previous prime is 1144013999. The next prime is 1144014007. The reversal of 1144014000 is 4104411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1144014007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89335 + ... + 101334.

It is an arithmetic number, because the mean of its divisors is an integer number (46104006).

Almost surely, 2^1144014000 is an apocalyptic number.

1144014000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144014000 is an abundant number, since it is smaller than the sum of its proper divisors (2544306480).

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

1144014000 is a wasteful number, since it uses less digits than its factorization.

1144014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190695 (or 190679 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1144014000 is about 33823.2760092809. The cubic root of 1144014000 is about 1045.8685726800.

Adding to 1144014000 its reverse (4104411), we get a palindrome (1148118411).

The spelling of 1144014000 in words is "one billion, one hundred forty-four million, fourteen thousand".