1410200000010 has 256 divisors, whose sum is σ = 3878671910400. Its totient is φ = 364430057472.

The previous prime is 1410199999979. The next prime is 1410200000059. The reversal of 1410200000010 is 100000020141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1410199999938 and 1410200000001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1383905281 + ... + 1383906299.

It is an arithmetic number, because the mean of its divisors is an integer number (15151062150).

Almost surely, 2^{1410200000010} is an apocalyptic number.

1410200000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1410200000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939335955200).

1410200000010 is an abundant number, since it is smaller than the sum of its proper divisors (2468471910390).

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

1410200000010 is a wasteful number, since it uses less digits than its factorization.

1410200000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1410200000010 its reverse (100000020141), we get a palindrome (1510200020151).

The spelling of 1410200000010 in words is "one trillion, four hundred ten billion, two hundred million, ten", and thus it is an aban number.