1331224400 has 60 divisors (see below), whose sum is σ = 3489029664. Its totient is φ = 484080000.

The previous prime is 1331224399. The next prime is 1331224409. The reversal of 1331224400 is 44221331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331224409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146876 + ... + 155675.

Almost surely, 2^1331224400 is an apocalyptic number.

1331224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331224400 is an abundant number, since it is smaller than the sum of its proper divisors (2157805264).

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

1331224400 is a wasteful number, since it uses less digits than its factorization.

1331224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302580 (or 302569 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1331224400 is about 36485.9479800101. The cubic root of 1331224400 is about 1100.0618147081.

Adding to 1331224400 its reverse (44221331), we get a palindrome (1375445731).

The spelling of 1331224400 in words is "one billion, three hundred thirty-one million, two hundred twenty-four thousand, four hundred".