1355130400 has 144 divisors (see below), whose sum is σ = 3584536200. Its totient is φ = 497295360.

The previous prime is 1355130389. The next prime is 1355130421. The reversal of 1355130400 is 40315531.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 23464336 + 1331666064 = 4844^2 + 36492^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2381316 + ... + 2381884.

Almost surely, 2^1355130400 is an apocalyptic number.

1355130400 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 1355130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792268100).

1355130400 is an abundant number, since it is smaller than the sum of its proper divisors (2229405800).

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

1355130400 is a wasteful number, since it uses less digits than its factorization.

1355130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1355130400 is about 36812.0958381888. The cubic root of 1355130400 is about 1106.6077209293.

Adding to 1355130400 its reverse (40315531), we get a palindrome (1395445931).

The spelling of 1355130400 in words is "one billion, three hundred fifty-five million, one hundred thirty thousand, four hundred".