1020342033024 has 128 divisors (see below), whose sum is σ = 2830699267200. Its totient is φ = 325029974016.

The previous prime is 1020342032933. The next prime is 1020342033101. The reversal of 1020342033024 is 4203302430201.

1020342033024 is digitally balanced in base 2 and base 4, because in such bases 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 Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1020342032985 and 1020342033003.

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, 9742602 + ... + 9846774.

It is an arithmetic number, because the mean of its divisors is an integer number (22114838025).

Almost surely, 2^{1020342033024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020342033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415349633600).

1020342033024 is an abundant number, since it is smaller than the sum of its proper divisors (1810357234176).

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

1020342033024 is a wasteful number, since it uses less digits than its factorization.

1020342033024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105322 (or 105310 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1020342033024 its reverse (4203302430201), we get a palindrome (5223644463225).

The spelling of 1020342033024 in words is "one trillion, twenty billion, three hundred forty-two million, thirty-three thousand, twenty-four".