14154323040 has 288 divisors, whose sum is σ = 56746793376. Its totient is φ = 3167354880.

The previous prime is 14154323033. The next prime is 14154323041. The reversal of 14154323040 is 4032345141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 14154322995 and 14154323013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14154323041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171552 + ... + 240288.

It is an arithmetic number, because the mean of its divisors is an integer number (197037477).

Almost surely, 2^14154323040 is an apocalyptic number.

14154323040 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 14154323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28373396688).

14154323040 is an abundant number, since it is smaller than the sum of its proper divisors (42592470336).

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

14154323040 is a wasteful number, since it uses less digits than its factorization.

14154323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68782 (or 68771 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14154323040 its reverse (4032345141), we get a palindrome (18186668181).

The spelling of 14154323040 in words is "fourteen billion, one hundred fifty-four million, three hundred twenty-three thousand, forty".