14356243440 has 1440 divisors, whose sum is σ = 67683168000. Its totient is φ = 2778209280.

The previous prime is 14356243427. The next prime is 14356243441. The reversal of 14356243440 is 4434265341.

14356243440 is a `hidden beast` number, since 14 + 3 + 562 + 43 + 4 + 40 = 666.

It is a super-2 number, since 2×14356243440² (a number of 21 digits) contains 22 as substring.

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 = 14356243395 and 14356243404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14356243441) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 243326131 + ... + 243326189.

It is an arithmetic number, because the mean of its divisors is an integer number (47002200).

Almost surely, 2^14356243440 is an apocalyptic number.

14356243440 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 14356243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33841584000).

14356243440 is an abundant number, since it is smaller than the sum of its proper divisors (53326924560).

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

14356243440 is a wasteful number, since it uses less digits than its factorization.

14356243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 14356243440 in words is "fourteen billion, three hundred fifty-six million, two hundred forty-three thousand, four hundred forty".