1320103826496 has 672 divisors, whose sum is σ = 4787593574400. Its totient is φ = 338530959360.

The previous prime is 1320103826401. The next prime is 1320103826507. The reversal of 1320103826496 is 6946283010231.

1320103826496 is a `hidden beast` number, since 1 + 3 + 201 + 0 + 382 + 64 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1320103826496² (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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 284564145 + ... + 284568783.

It is an arithmetic number, because the mean of its divisors is an integer number (7124395200).

Almost surely, 2^{1320103826496} is an apocalyptic number.

1320103826496 is a gapful number since it is divisible by the number (16) 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 1320103826496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393796787200).

1320103826496 is an abundant number, since it is smaller than the sum of its proper divisors (3467489747904).

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

1320103826496 is a wasteful number, since it uses less digits than its factorization.

1320103826496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1320103826496 in words is "one trillion, three hundred twenty billion, one hundred three million, eight hundred twenty-six thousand, four hundred ninety-six".