1020241134240 has 144 divisors (see below), whose sum is σ = 3259669047264. Its totient is φ = 268231774720.

The previous prime is 1020241134221. The next prime is 1020241134251. The reversal of 1020241134240 is 424311420201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1020241134240.

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 23 ways as a sum of consecutive naturals, for example, 2208859 + ... + 2630501.

It is an arithmetic number, because the mean of its divisors is an integer number (22636590606).

Almost surely, 2^{1020241134240} is an apocalyptic number.

1020241134240 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 1020241134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629834523632).

1020241134240 is an abundant number, since it is smaller than the sum of its proper divisors (2239427913024).

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

1020241134240 is an equidigital number, since it uses as much as digits as its factorization.

1020241134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421803 (or 421724 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1020241134240 its reverse (424311420201), we get a palindrome (1444552554441).

The spelling of 1020241134240 in words is "one trillion, twenty billion, two hundred forty-one million, one hundred thirty-four thousand, two hundred forty".