1412540400 has 240 divisors, whose sum is σ = 4804692480. Its totient is φ = 353971200.

The previous prime is 1412540399. The next prime is 1412540473. The reversal of 1412540400 is 40452141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1683181 + ... + 1684019.

It is an arithmetic number, because the mean of its divisors is an integer number (20019552).

Almost surely, 2^1412540400 is an apocalyptic number.

1412540400 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 1412540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402346240).

1412540400 is an abundant number, since it is smaller than the sum of its proper divisors (3392152080).

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

1412540400 is a wasteful number, since it uses less digits than its factorization.

1412540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1412540400 is about 37583.7784156942. The cubic root of 1412540400 is about 1122.0192103370.

Adding to 1412540400 its reverse (40452141), we get a palindrome (1452992541).

The spelling of 1412540400 in words is "one billion, four hundred twelve million, five hundred forty thousand, four hundred".