1020435305312 has 48 divisors (see below), whose sum is σ = 2070570236112. Its totient is φ = 494673661440.

The previous prime is 1020435305293. The next prime is 1020435305353. The reversal of 1020435305312 is 2135035340201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1187639 + ... + 1857782.

It is an arithmetic number, because the mean of its divisors is an integer number (43136879919).

Almost surely, 2^{1020435305312} is an apocalyptic number.

It is an amenable number.

1020435305312 is an abundant number, since it is smaller than the sum of its proper divisors (1050134930800).

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

1020435305312 is a wasteful number, since it uses less digits than its factorization.

1020435305312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045751 (or 3045743 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 1020435305312 in words is "one trillion, twenty billion, four hundred thirty-five million, three hundred five thousand, three hundred twelve".