1263443728320 has 280 divisors, whose sum is σ = 4570471580400. Its totient is φ = 331207446528.

The previous prime is 1263443728301. The next prime is 1263443728333. The reversal of 1263443728320 is 238273443621.

1263443728320 is a `hidden beast` number, since 1 + 2 + 6 + 344 + 3 + 7 + 283 + 20 = 666.

It is a super-2 number, since 2×1263443728320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1116196 + ... + 1942364.

Almost surely, 2^{1263443728320} is an apocalyptic number.

1263443728320 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 1263443728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285235790200).

1263443728320 is an abundant number, since it is smaller than the sum of its proper divisors (3307027852080).

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

1263443728320 is an equidigital number, since it uses as much as digits as its factorization.

1263443728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826257 (or 826238 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 1263443728320 in words is "one trillion, two hundred sixty-three billion, four hundred forty-three million, seven hundred twenty-eight thousand, three hundred twenty".