14005114400 has 72 divisors (see below), whose sum is σ = 34219255140. Its totient is φ = 5597250560.

The previous prime is 14005114397. The next prime is 14005114423. The reversal of 14005114400 is 441150041.

It can be written as a sum of positive squares in 6 ways, for example, as 8959001104 + 5046113296 = 94652^2 + 71036^2 .

It is a super-2 number, since 2×14005114400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1014746 + ... + 1028454.

Almost surely, 2^14005114400 is an apocalyptic number.

14005114400 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 14005114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17109627570).

14005114400 is an abundant number, since it is smaller than the sum of its proper divisors (20214140740).

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

14005114400 is a wasteful number, since it uses less digits than its factorization.

14005114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15006 (or 14993 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 14005114400 its reverse (441150041), we get a palindrome (14446264441).

It can be divided in two parts, 140051 and 14400, that added together give a palindrome (154451).

The spelling of 14005114400 in words is "fourteen billion, five million, one hundred fourteen thousand, four hundred".