1005964240960 has 56 divisors (see below), whose sum is σ = 2737659833280. Its totient is φ = 344902024704.

The previous prime is 1005964240937. The next prime is 1005964240961. The reversal of 1005964240960 is 690424695001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 1005964240960.

It is not an unprimeable number, because it can be changed into a prime (1005964240961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224543350 + ... + 224547829.

Almost surely, 2^{1005964240960} is an apocalyptic number.

1005964240960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005964240960 is an abundant number, since it is smaller than the sum of its proper divisors (1731695592320).

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

1005964240960 is an equidigital number, since it uses as much as digits as its factorization.

1005964240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449091203 (or 449091193 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 1005964240960 in words is "one trillion, five billion, nine hundred sixty-four million, two hundred forty thousand, nine hundred sixty".