1412140800 has 648 divisors, whose sum is σ = 5778796800. Its totient is φ = 301916160.

The previous prime is 1412140787. The next prime is 1412140837. The reversal of 1412140800 is 80412141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17875161 + ... + 17875239.

Almost surely, 2^1412140800 is an apocalyptic number.

1412140800 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 1412140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889398400).

1412140800 is an abundant number, since it is smaller than the sum of its proper divisors (4366656000).

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

1412140800 is a wasteful number, since it uses less digits than its factorization.

1412140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1412140800 is about 37578.4619163691. The cubic root of 1412140800 is about 1121.9133959800.

Adding to 1412140800 its reverse (80412141), we get a palindrome (1492552941).

The spelling of 1412140800 in words is "one billion, four hundred twelve million, one hundred forty thousand, eight hundred".