1021027264640 has 64 divisors (see below), whose sum is σ = 2444955612120. Its totient is φ = 407731200000.

The previous prime is 1021027264639. The next prime is 1021027264643. The reversal of 1021027264640 is 464627201201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 827968965184 + 193058299456 = 909928^2 + 439384^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1021027264640.

It is not an unprimeable number, because it can be changed into a prime (1021027264643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 942611 + ... + 1711890.

Almost surely, 2^{1021027264640} is an apocalyptic number.

1021027264640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021027264640 is an abundant number, since it is smaller than the sum of its proper divisors (1423928347480).

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

1021027264640 is an equidigital number, since it uses as much as digits as its factorization.

1021027264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655121 (or 2655109 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 1021027264640 in words is "one trillion, twenty-one billion, twenty-seven million, two hundred sixty-four thousand, six hundred forty".