1021029730560 has 1296 divisors, whose sum is σ = 4251535836912. Its totient is φ = 225430732800.

The previous prime is 1021029730531. The next prime is 1021029730571. The reversal of 1021029730560 is 650379201201.

1021029730560 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 2 + 97 + 3 + 0 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 133394413824 + 887635316736 = 365232^2 + 942144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3633557620 + ... + 3633557900.

It is an arithmetic number, because the mean of its divisors is an integer number (3280506047).

Almost surely, 2^{1021029730560} is an apocalyptic number.

1021029730560 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 1021029730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125767918456).

1021029730560 is an abundant number, since it is smaller than the sum of its proper divisors (3230506106352).

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

1021029730560 is a wasteful number, since it uses less digits than its factorization.

1021029730560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 1021029730560 in words is "one trillion, twenty-one billion, twenty-nine million, seven hundred thirty thousand, five hundred sixty".