1331242400 has 36 divisors (see below), whose sum is σ = 3249897462. Its totient is φ = 532496640.

The previous prime is 1331242399. The next prime is 1331242417. The reversal of 1331242400 is 42421331.

It can be written as a sum of positive squares in 3 ways, for example, as 876870544 + 454371856 = 29612^2 + 21316^2 .

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

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, 831227 + ... + 832826.

Almost surely, 2^1331242400 is an apocalyptic number.

1331242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331242400 is an abundant number, since it is smaller than the sum of its proper divisors (1918655062).

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

1331242400 is a wasteful number, since it uses less digits than its factorization.

1331242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664073 (or 1664060 counting only the distinct ones).

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

The square root of 1331242400 is about 36486.1946494835. The cubic root of 1331242400 is about 1100.0667728061.

Adding to 1331242400 its reverse (42421331), we get a palindrome (1373663731).

The spelling of 1331242400 in words is "one billion, three hundred thirty-one million, two hundred forty-two thousand, four hundred".