1020340022240 has 288 divisors, whose sum is σ = 3095909921664. Its totient is φ = 314194191360.

The previous prime is 1020340022171. The next prime is 1020340022257. The reversal of 1020340022240 is 422200430201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7086647 + ... + 7229193.

It is an arithmetic number, because the mean of its divisors is an integer number (10749687228).

Almost surely, 2^{1020340022240} is an apocalyptic number.

1020340022240 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 1020340022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547954960832).

1020340022240 is an abundant number, since it is smaller than the sum of its proper divisors (2075569899424).

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

1020340022240 is a wasteful number, since it uses less digits than its factorization.

1020340022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142670 (or 142655 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 1020340022240 its reverse (422200430201), we get a palindrome (1442540452441).

The spelling of 1020340022240 in words is "one trillion, twenty billion, three hundred forty million, twenty-two thousand, two hundred forty".