1020144030000 has 200 divisors, whose sum is σ = 3297993754176. Its totient is φ = 271639200000.

The previous prime is 1020144029921. The next prime is 1020144030089. The reversal of 1020144030000 is 304410201.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 39 ways as a sum of consecutive naturals, for example, 20705395 + ... + 20754605.

Almost surely, 2^{1020144030000} is an apocalyptic number.

1020144030000 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 1020144030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648996877088).

1020144030000 is an abundant number, since it is smaller than the sum of its proper divisors (2277849724176).

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

1020144030000 is an equidigital number, since it uses as much as digits as its factorization.

1020144030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49933 (or 49912 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1020144030000 its reverse (304410201), we get a palindrome (1020448440201).

The spelling of 1020144030000 in words is "one trillion, twenty billion, one hundred forty-four million, thirty thousand".