1415340400 has 60 divisors (see below), whose sum is σ = 3579340600. Its totient is φ = 536336640.

The previous prime is 1415340359. The next prime is 1415340401. The reversal of 1415340400 is 40435141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1415340401) by changing a digit.

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, 85515 + ... + 100714.

Almost surely, 2^1415340400 is an apocalyptic number.

1415340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1415340400 is an abundant number, since it is smaller than the sum of its proper divisors (2164000200).

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

1415340400 is a wasteful number, since it uses less digits than its factorization.

1415340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186266 (or 186255 counting only the distinct ones).

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

The square root of 1415340400 is about 37621.0100874498. The cubic root of 1415340400 is about 1122.7600930356.

Adding to 1415340400 its reverse (40435141), we get a palindrome (1455775541).

The spelling of 1415340400 in words is "one billion, four hundred fifteen million, three hundred forty thousand, four hundred".