1024144000000 has 693 divisors, whose sum is σ = 2940485857393. Its totient is φ = 356224000000.

The previous prime is 1024143999871. The next prime is 1024144000001. The reversal of 1024144000000 is 4414201.

The square root of 1024144000000 is 1012000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 897248461824 + 126895538176 = 947232^2 + 356224^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1024144000001) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 44527999989 + ... + 44528000011.

Almost surely, 2^{1024144000000} is an apocalyptic number.

1024144000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1024144000000 is the 1012000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024144000000

1024144000000 is an abundant number, since it is smaller than the sum of its proper divisors (1916341857393).

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

1024144000000 is an frugal number, since it uses more digits than its factorization.

1024144000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Multiplying 1024144000000 by its sum of digits (16), we get a square (16386304000000 = 4048000²).

1024144000000 divided by its sum of digits (16) gives a square (64009000000 = 253000²).

Adding to 1024144000000 its reverse (4414201), we get a palindrome (1024148414201).

It can be divided in two parts, 1024 and 144000000, that multiplied together give a square (147456000000 = 384000²).

The spelling of 1024144000000 in words is "one trillion, twenty-four billion, one hundred forty-four million", and thus it is an aban number.