1303384808880 has 2400 divisors, whose sum is σ = 6146557845120. Its totient is φ = 249628262400.

The previous prime is 1303384808857. The next prime is 1303384808899. The reversal of 1303384808880 is 888084833031.

1303384808880 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 3 + 8 + 480 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5691636606 + ... + 5691636834.

Almost surely, 2^{1303384808880} is an apocalyptic number.

1303384808880 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 1303384808880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073278922560).

1303384808880 is an abundant number, since it is smaller than the sum of its proper divisors (4843173036240).

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

1303384808880 is a wasteful number, since it uses less digits than its factorization.

1303384808880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 1303384808880 in words is "one trillion, three hundred three billion, three hundred eighty-four million, eight hundred eight thousand, eight hundred eighty".