1355142400 has 54 divisors (see below), whose sum is σ = 3354205022. Its totient is φ = 542054400.

The previous prime is 1355142367. The next prime is 1355142407. The reversal of 1355142400 is 42415531.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 288728064 + 1066414336 = 16992^2 + 32656^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355142407) 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, 99471 + ... + 112270.

Almost surely, 2^1355142400 is an apocalyptic number.

1355142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355142400 is an abundant number, since it is smaller than the sum of its proper divisors (1999062622).

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

1355142400 is an equidigital number, since it uses as much as digits as its factorization.

1355142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211767 (or 211748 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1355142400 is about 36812.2588277329. The cubic root of 1355142400 is about 1106.6109873440.

Adding to 1355142400 its reverse (42415531), we get a palindrome (1397557931).

The spelling of 1355142400 in words is "one billion, three hundred fifty-five million, one hundred forty-two thousand, four hundred".