1020755430240 has 576 divisors, whose sum is σ = 4152193145856. Its totient is φ = 206001709056.

The previous prime is 1020755430181. The next prime is 1020755430259. The reversal of 1020755430240 is 420345570201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13021242 + ... + 13099398.

It is an arithmetic number, because the mean of its divisors is an integer number (7208668656).

Almost surely, 2^{1020755430240} is an apocalyptic number.

1020755430240 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 1020755430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076096572928).

1020755430240 is an abundant number, since it is smaller than the sum of its proper divisors (3131437715616).

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

1020755430240 is a wasteful number, since it uses less digits than its factorization.

1020755430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78231 (or 78210 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The spelling of 1020755430240 in words is "one trillion, twenty billion, seven hundred fifty-five million, four hundred thirty thousand, two hundred forty".