1014330242200 has 192 divisors, whose sum is σ = 2634626016000. Its totient is φ = 359984217600.

The previous prime is 1014330242179. The next prime is 1014330242213. The reversal of 1014330242200 is 22420334101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145964326 + ... + 145971274.

It is an arithmetic number, because the mean of its divisors is an integer number (13722010500).

Almost surely, 2^{1014330242200} is an apocalyptic number.

1014330242200 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 1014330242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317313008000).

1014330242200 is an abundant number, since it is smaller than the sum of its proper divisors (1620295773800).

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

1014330242200 is a wasteful number, since it uses less digits than its factorization.

1014330242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8562 (or 8553 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1014330242200 its reverse (22420334101), we get a palindrome (1036750576301).

The spelling of 1014330242200 in words is "one trillion, fourteen billion, three hundred thirty million, two hundred forty-two thousand, two hundred".