14145243840 has 672 divisors, whose sum is σ = 62130432000. Its totient is φ = 2982998016.

The previous prime is 14145243817. The next prime is 14145243851. The reversal of 14145243840 is 4834254141.

14145243840 is a `hidden beast` number, since 141 + 45 + 2 + 438 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 14145243795 and 14145243804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7075161 + ... + 7077159.

It is an arithmetic number, because the mean of its divisors is an integer number (92456000).

Almost surely, 2^14145243840 is an apocalyptic number.

14145243840 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 14145243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31065216000).

14145243840 is an abundant number, since it is smaller than the sum of its proper divisors (47985188160).

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

14145243840 is a wasteful number, since it uses less digits than its factorization.

14145243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 14145243840 its reverse (4834254141), we get a palindrome (18979497981).

The spelling of 14145243840 in words is "fourteen billion, one hundred forty-five million, two hundred forty-three thousand, eight hundred forty".