1412000000 has 126 divisors (see below), whose sum is σ = 3533040714. Its totient is φ = 563200000.

The previous prime is 1411999993. The next prime is 1412000003. The reversal of 1412000000 is 2141.

It can be written as a sum of positive squares in 7 ways, for example, as 1402951936 + 9048064 = 37456^2 + 3008^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3999824 + ... + 4000176.

Almost surely, 2^1412000000 is an apocalyptic number.

1412000000 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 1412000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766520357).

1412000000 is an abundant number, since it is smaller than the sum of its proper divisors (2121040714).

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

1412000000 is an frugal number, since it uses more digits than its factorization.

1412000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1412000000 is about 37576.5884561119. The cubic root of 1412000000 is about 1121.8761072865.

Adding to 1412000000 its reverse (2141), we get a palindrome (1412002141).

The spelling of 1412000000 in words is "one billion, four hundred twelve million", and thus it is an aban number.