1321144400 has 30 divisors (see below), whose sum is σ = 3174050382. Its totient is φ = 528457600.

The previous prime is 1321144399. The next prime is 1321144417. The reversal of 1321144400 is 44411231.

It can be written as a sum of positive squares in 3 ways, for example, as 258064 + 1320886336 = 508^2 + 36344^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1651031 + ... + 1651830.

Almost surely, 2^1321144400 is an apocalyptic number.

1321144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321144400 is an abundant number, since it is smaller than the sum of its proper divisors (1852905982).

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

1321144400 is a wasteful number, since it uses less digits than its factorization.

1321144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302879 (or 3302868 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1321144400 is about 36347.5501237704. The cubic root of 1321144400 is about 1097.2782296560.

Adding to 1321144400 its reverse (44411231), we get a palindrome (1365555631).

The spelling of 1321144400 in words is "one billion, three hundred twenty-one million, one hundred forty-four thousand, four hundred".