1335142400 has 144 divisors (see below), whose sum is σ = 3358964700. Its totient is φ = 526254080.

The previous prime is 1335142321. The next prime is 1335142411. The reversal of 1335142400 is 42415331.

It can be written as a sum of positive squares in 6 ways, for example, as 624600064 + 710542336 = 24992^2 + 26656^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4556654 + ... + 4556946.

Almost surely, 2^1335142400 is an apocalyptic number.

1335142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1335142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679482350).

1335142400 is an abundant number, since it is smaller than the sum of its proper divisors (2023822300).

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

1335142400 is an equidigital number, since it uses as much as digits as its factorization.

1335142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1335142400 is about 36539.6004356917. The cubic root of 1335142400 is about 1101.1399752135.

Adding to 1335142400 its reverse (42415331), we get a palindrome (1377557731).

The spelling of 1335142400 in words is "one billion, three hundred thirty-five million, one hundred forty-two thousand, four hundred".