1330144200 has 576 divisors, whose sum is σ = 5826859200. Its totient is φ = 275788800.

The previous prime is 1330144199. The next prime is 1330144213. The reversal of 1330144200 is 24410331.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2910372 + ... + 2910828.

It is an arithmetic number, because the mean of its divisors is an integer number (10116075).

Almost surely, 2^1330144200 is an apocalyptic number.

1330144200 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 1330144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913429600).

1330144200 is an abundant number, since it is smaller than the sum of its proper divisors (4496715000).

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

1330144200 is a wasteful number, since it uses less digits than its factorization.

1330144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1330144200 is about 36471.1420166685. The cubic root of 1330144200 is about 1099.7641918774.

Adding to 1330144200 its reverse (24410331), we get a palindrome (1354554531).

It can be divided in two parts, 1330 and 144200, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 1330144200 in words is "one billion, three hundred thirty million, one hundred forty-four thousand, two hundred".