1351114400 has 36 divisors (see below), whose sum is σ = 3298409982. Its totient is φ = 540445440.

The previous prime is 1351114399. The next prime is 1351114409. The reversal of 1351114400 is 44111531.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1228081936 + 123032464 = 35044^2 + 11092^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1351114409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 843647 + ... + 845246.

Almost surely, 2^1351114400 is an apocalyptic number.

1351114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1351114400 is an abundant number, since it is smaller than the sum of its proper divisors (1947295582).

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

1351114400 is a wasteful number, since it uses less digits than its factorization.

1351114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688913 (or 1688900 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1351114400 is about 36757.5080765821. The cubic root of 1351114400 is about 1105.5134759294.

Adding to 1351114400 its reverse (44111531), we get a palindrome (1395225931).

The spelling of 1351114400 in words is "one billion, three hundred fifty-one million, one hundred fourteen thousand, four hundred".