13828302240480 has 768 divisors, whose sum is σ = 59666285629440. Its totient is φ = 2912809476096.

The previous prime is 13828302240449. The next prime is 13828302240491. The reversal of 13828302240480 is 8404220382831.

13828302240480 is a `hidden beast` number, since 1 + 3 + 8 + 28 + 302 + 240 + 4 + 80 = 666.

13828302240480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 240953869 + ... + 241011251.

It is an arithmetic number, because the mean of its divisors is an integer number (77690476080).

Almost surely, 2^{13828302240480} is an apocalyptic number.

13828302240480 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 13828302240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29833142814720).

13828302240480 is an abundant number, since it is smaller than the sum of its proper divisors (45837983388960).

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

13828302240480 is a wasteful number, since it uses less digits than its factorization.

13828302240480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58040 (or 58026 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 13828302240480 in words is "thirteen trillion, eight hundred twenty-eight billion, three hundred two million, two hundred forty thousand, four hundred eighty".