13701840000 has 320 divisors, whose sum is σ = 46739288640. Its totient is φ = 3552768000.

The previous prime is 13701839993. The next prime is 13701840007. The reversal of 13701840000 is 4810731.

It is an interprime number because it is at equal distance from previous prime (13701839993) and next prime (13701840007).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (13701840007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8879229 + ... + 8880771.

It is an arithmetic number, because the mean of its divisors is an integer number (146060277).

Almost surely, 2^13701840000 is an apocalyptic number.

13701840000 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 13701840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23369644320).

13701840000 is an abundant number, since it is smaller than the sum of its proper divisors (33037448640).

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

13701840000 is an equidigital number, since it uses as much as digits as its factorization.

13701840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 13701840000 in words is "thirteen billion, seven hundred one million, eight hundred forty thousand".