13430311994880 has 1920 divisors, whose sum is σ = 56786159738880. Its totient is φ = 2894431518720.

The previous prime is 13430311994867. The next prime is 13430311994929. The reversal of 13430311994880 is 8849911303431.

13430311994880 is a `hidden beast` number, since 1 + 3 + 43 + 0 + 3 + 119 + 9 + 488 + 0 = 666.

13430311994880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5872457097 + ... + 5872459383.

It is an arithmetic number, because the mean of its divisors is an integer number (29576124864).

Almost surely, 2^{13430311994880} is an apocalyptic number.

13430311994880 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 13430311994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28393079869440).

13430311994880 is an abundant number, since it is smaller than the sum of its proper divisors (43355847744000).

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

13430311994880 is a wasteful number, since it uses less digits than its factorization.

13430311994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 13430311994880 in words is "thirteen trillion, four hundred thirty billion, three hundred eleven million, nine hundred ninety-four thousand, eight hundred eighty".