14000418432 has 1280 divisors, whose sum is σ = 59715532800. Its totient is φ = 3135283200.

The previous prime is 14000418407. The next prime is 14000418437. The reversal of 14000418432 is 23481400041.

It is a super-3 number, since 3×14000418432³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14000418396 and 14000418405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14000418437) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 197188957 + ... + 197189027.

It is an arithmetic number, because the mean of its divisors is an integer number (46652760).

Almost surely, 2^14000418432 is an apocalyptic number.

14000418432 is a gapful number since it is divisible by the number (12) 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 14000418432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29857766400).

14000418432 is an abundant number, since it is smaller than the sum of its proper divisors (45715114368).

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

14000418432 is a wasteful number, since it uses less digits than its factorization.

14000418432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14000418432 its reverse (23481400041), we get a palindrome (37481818473).

The spelling of 14000418432 in words is "fourteen billion, four hundred eighteen thousand, four hundred thirty-two".