1020052707744 has 192 divisors, whose sum is σ = 3194115047424. Its totient is φ = 278693031936.

The previous prime is 1020052707727. The next prime is 1020052707881. The reversal of 1020052707744 is 4477072500201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72682552 + ... + 72696584.

It is an arithmetic number, because the mean of its divisors is an integer number (16636015872).

Almost surely, 2^{1020052707744} is an apocalyptic number.

1020052707744 is a gapful number since it is divisible by the number (14) 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 1020052707744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597057523712).

1020052707744 is an abundant number, since it is smaller than the sum of its proper divisors (2174062339680).

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

1020052707744 is a wasteful number, since it uses less digits than its factorization.

1020052707744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18779 (or 18771 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 39.

The spelling of 1020052707744 in words is "one trillion, twenty billion, fifty-two million, seven hundred seven thousand, seven hundred forty-four".