14465145240 has 640 divisors, whose sum is σ = 60769336320. Its totient is φ = 3004646400.

The previous prime is 14465145229. The next prime is 14465145251. The reversal of 14465145240 is 4254156441.

14465145240 is a `hidden beast` number, since 14 + 46 + 514 + 52 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (14465145229) and next prime (14465145251).

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 = 14465145195 and 14465145204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20933295 + ... + 20933985.

It is an arithmetic number, because the mean of its divisors is an integer number (94952088).

Almost surely, 2^14465145240 is an apocalyptic number.

14465145240 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 14465145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30384668160).

14465145240 is an abundant number, since it is smaller than the sum of its proper divisors (46304191080).

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

14465145240 is a wasteful number, since it uses less digits than its factorization.

14465145240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 14465145240 in words is "fourteen billion, four hundred sixty-five million, one hundred forty-five thousand, two hundred forty".