14356138240 has 288 divisors, whose sum is σ = 37978174080. Its totient is φ = 5177475072.

The previous prime is 14356138207. The next prime is 14356138259. The reversal of 14356138240 is 4283165341.

It is a self number, because there is not a number n which added to its sum of digits gives 14356138240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62690446 + ... + 62690674.

It is an arithmetic number, because the mean of its divisors is an integer number (131868660).

Almost surely, 2^14356138240 is an apocalyptic number.

14356138240 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 14356138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18989087040).

14356138240 is an abundant number, since it is smaller than the sum of its proper divisors (23622035840).

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

14356138240 is a wasteful number, since it uses less digits than its factorization.

14356138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 14356138240 in words is "fourteen billion, three hundred fifty-six million, one hundred thirty-eight thousand, two hundred forty".