1350542400 has 84 divisors (see below), whose sum is σ = 4430920272. Its totient is φ = 360143360.

The previous prime is 1350542399. The next prime is 1350542437. The reversal of 1350542400 is 42450531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135882 + ... + 145481.

Almost surely, 2^1350542400 is an apocalyptic number.

1350542400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1350542400 is an abundant number, since it is smaller than the sum of its proper divisors (3080377872).

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

1350542400 is a wasteful number, since it uses less digits than its factorization.

1350542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281388 (or 281373 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1350542400 is about 36749.7265295947. The cubic root of 1350542400 is about 1105.3574459722.

Adding to 1350542400 its reverse (42450531), we get a palindrome (1392992931).

The spelling of 1350542400 in words is "one billion, three hundred fifty million, five hundred forty-two thousand, four hundred".