13314840000 has 840 divisors, whose sum is σ = 55722463104. Its totient is φ = 2745600000.

The previous prime is 13314839983. The next prime is 13314840031. The reversal of 13314840000 is 4841331.

It is a tau number, because it is divible by the number of its divisors (840).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 101639935 + ... + 101640065.

Almost surely, 2^13314840000 is an apocalyptic number.

13314840000 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 13314840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27861231552).

13314840000 is an abundant number, since it is smaller than the sum of its proper divisors (42407623104).

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

13314840000 is a wasteful number, since it uses less digits than its factorization.

13314840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 13314840000 in words is "thirteen billion, three hundred fourteen million, eight hundred forty thousand".