13985110440 has 384 divisors, whose sum is σ = 54762739200. Its totient is φ = 3026073600.

The previous prime is 13985110439. The next prime is 13985110441. The reversal of 13985110440 is 4401158931.

13985110440 is a `hidden beast` number, since 13 + 98 + 5 + 110 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (13985110439) and next prime (13985110441).

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 = 13985110395 and 13985110404.

It is not an unprimeable number, because it can be changed into a prime (13985110441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5852766 + ... + 5855154.

It is an arithmetic number, because the mean of its divisors is an integer number (142611300).

Almost surely, 2^13985110440 is an apocalyptic number.

13985110440 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 13985110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27381369600).

13985110440 is an abundant number, since it is smaller than the sum of its proper divisors (40777628760).

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

13985110440 is a wasteful number, since it uses less digits than its factorization.

13985110440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 13985110440 in words is "thirteen billion, nine hundred eighty-five million, one hundred ten thousand, four hundred forty".