1351242400 has 36 divisors (see below), whose sum is σ = 3298722462. Its totient is φ = 540496640.

The previous prime is 1351242391. The next prime is 1351242413. The reversal of 1351242400 is 42421531.

It can be written as a sum of positive squares in 3 ways, for example, as 724040464 + 627201936 = 26908^2 + 25044^2 .

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, 843727 + ... + 845326.

Almost surely, 2^1351242400 is an apocalyptic number.

1351242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1351242400 is an abundant number, since it is smaller than the sum of its proper divisors (1947480062).

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

1351242400 is a wasteful number, since it uses less digits than its factorization.

1351242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689073 (or 1689060 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1351242400 is about 36759.2491762277. The cubic root of 1351242400 is about 1105.5483856939.

Adding to 1351242400 its reverse (42421531), we get a palindrome (1393663931).

The spelling of 1351242400 in words is "one billion, three hundred fifty-one million, two hundred forty-two thousand, four hundred".