13284311040 has 1280 divisors, whose sum is σ = 63945383040. Its totient is φ = 2548039680.

The previous prime is 13284311009. The next prime is 13284311059. The reversal of 13284311040 is 4011348231.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13284310995 and 13284311013.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3120 × 1584 × 2688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1021870074 + ... + 1021870086.

Almost surely, 2^13284311040 is an apocalyptic number.

13284311040 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 13284311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31972691520).

13284311040 is an abundant number, since it is smaller than the sum of its proper divisors (50661072000).

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

13284311040 is an equidigital number, since it uses as much as digits as its factorization.

13284311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13284311040 its reverse (4011348231), we get a palindrome (17295659271).

The spelling of 13284311040 in words is "thirteen billion, two hundred eighty-four million, three hundred eleven thousand, forty".