1412900640 has 216 divisors, whose sum is σ = 4986953244. Its totient is φ = 364262400.

The previous prime is 1412900627. The next prime is 1412900647. The reversal of 1412900640 is 460092141.

1412900640 is a `hidden beast` number, since 1 + 4 + 12 + 9 + 0 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1411655184 + 1245456 = 37572^2 + 1116^2 .

It is not an unprimeable number, because it can be changed into a prime (1412900647) 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 35 ways as a sum of consecutive naturals, for example, 1383330 + ... + 1384350.

Almost surely, 2^1412900640 is an apocalyptic number.

1412900640 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 1412900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493476622).

1412900640 is an abundant number, since it is smaller than the sum of its proper divisors (3574052604).

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

1412900640 is a wasteful number, since it uses less digits than its factorization.

1412900640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1412900640 is about 37588.5706033097. The cubic root of 1412900640 is about 1122.1145850356.

Adding to 1412900640 its reverse (460092141), we get a palindrome (1872992781).

The spelling of 1412900640 in words is "one billion, four hundred twelve million, nine hundred thousand, six hundred forty".