13347877140000 has 480 divisors, whose sum is σ = 52390787581440. Its totient is φ = 3285629568000.

The previous prime is 13347877139969. The next prime is 13347877140007. The reversal of 13347877140000 is 4177874331.

It is a happy number.

13347877140000 is a `hidden beast` number, since 1 + 33 + 478 + 7 + 7 + 140 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13347877140007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6069297 + ... + 7970703.

It is an arithmetic number, because the mean of its divisors is an integer number (109147474128).

Almost surely, 2^{13347877140000} is an apocalyptic number.

13347877140000 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 13347877140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26195393790720).

13347877140000 is an abundant number, since it is smaller than the sum of its proper divisors (39042910441440).

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

13347877140000 is a wasteful number, since it uses less digits than its factorization.

13347877140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901459 (or 1901430 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 13347877140000 in words is "thirteen trillion, three hundred forty-seven billion, eight hundred seventy-seven million, one hundred forty thousand".