13311439223040 has 1512 divisors, whose sum is σ = 55837465629120. Its totient is φ = 3030230310912.

The previous prime is 13311439223023. The next prime is 13311439223123. The reversal of 13311439223040 is 4032293411331.

13311439223040 is a `hidden beast` number, since 1 + 3 + 31 + 1 + 4 + 392 + 230 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13311439222986 and 13311439223004.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 15865838941 + ... + 15865839779.

It is an arithmetic number, because the mean of its divisors is an integer number (36929540760).

Almost surely, 2^{13311439223040} is an apocalyptic number.

13311439223040 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 13311439223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27918732814560).

13311439223040 is an abundant number, since it is smaller than the sum of its proper divisors (42526026406080).

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

13311439223040 is an frugal number, since it uses more digits than its factorization.

13311439223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13311439223040 in words is "thirteen trillion, three hundred eleven billion, four hundred thirty-nine million, two hundred twenty-three thousand, forty".