1330102400 has 192 divisors, whose sum is σ = 3710923200. Its totient is φ = 466636800.

The previous prime is 1330102393. The next prime is 1330102409. The reversal of 1330102400 is 42010331.

It is not an unprimeable number, because it can be changed into a prime (1330102409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020149 + ... + 1021451.

It is an arithmetic number, because the mean of its divisors is an integer number (19327725).

Almost surely, 2^1330102400 is an apocalyptic number.

1330102400 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 1330102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855461600).

1330102400 is an abundant number, since it is smaller than the sum of its proper divisors (2380820800).

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

1330102400 is a wasteful number, since it uses less digits than its factorization.

1330102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1330102400 is about 36470.5689563516. The cubic root of 1330102400 is about 1099.7526716666.

Adding to 1330102400 its reverse (42010331), we get a palindrome (1372112731).

The spelling of 1330102400 in words is "one billion, three hundred thirty million, one hundred two thousand, four hundred".