1020443414144 has 128 divisors (see below), whose sum is σ = 2621941660800. Its totient is φ = 383865753600.

The previous prime is 1020443414117. The next prime is 1020443414191. The reversal of 1020443414144 is 4414143440201.

1020443414144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1020443414144² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1020443414144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1499267 + ... + 2070914.

It is an arithmetic number, because the mean of its divisors is an integer number (20483919225).

Almost surely, 2^{1020443414144} is an apocalyptic number.

1020443414144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1020443414144 is an abundant number, since it is smaller than the sum of its proper divisors (1601498246656).

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

1020443414144 is a wasteful number, since it uses less digits than its factorization.

1020443414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570242 (or 3570230 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 1020443414144 its reverse (4414143440201), we get a palindrome (5434586854345).

The spelling of 1020443414144 in words is "one trillion, twenty billion, four hundred forty-three million, four hundred fourteen thousand, one hundred forty-four".