1144013220 has 240 divisors, whose sum is σ = 4156669440. Its totient is φ = 257976576.

The previous prime is 1144013219. The next prime is 1144013231. The reversal of 1144013220 is 223104411.

1144013220 is a `hidden beast` number, since 1 + 1 + 440 + 1 + 3 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1144013193 and 1144013202.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 895222 + ... + 896498.

It is an arithmetic number, because the mean of its divisors is an integer number (17319456).

Almost surely, 2^1144013220 is an apocalyptic number.

1144013220 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 1144013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078334720).

1144013220 is an abundant number, since it is smaller than the sum of its proper divisors (3012656220).

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

1144013220 is a wasteful number, since it uses less digits than its factorization.

1144013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1144013220 is about 33823.2644787578. The cubic root of 1144013220 is about 1045.8683349855.

Adding to 1144013220 its reverse (223104411), we get a palindrome (1367117631).

The spelling of 1144013220 in words is "one billion, one hundred forty-four million, thirteen thousand, two hundred twenty".