1010330400320 has 28 divisors (see below), whose sum is σ = 2405849266524. Its totient is φ = 404132160000.

The previous prime is 1010330400301. The next prime is 1010330400349. The reversal of 1010330400320 is 230040330101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 390445020736 + 619885379584 = 624856^2 + 787328^2 .

It is a super-2 number, since 2×1010330400320² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1578640931 + ... + 1578641570.

Almost surely, 2^{1010330400320} is an apocalyptic number.

1010330400320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010330400320 is an abundant number, since it is smaller than the sum of its proper divisors (1395518866204).

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

1010330400320 is an equidigital number, since it uses as much as digits as its factorization.

1010330400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157282518 (or 3157282508 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1010330400320 its reverse (230040330101), we get a palindrome (1240370730421).

The spelling of 1010330400320 in words is "one trillion, ten billion, three hundred thirty million, four hundred thousand, three hundred twenty".