14141345040 has 160 divisors (see below), whose sum is σ = 48747951360. Its totient is φ = 3768016896.

The previous prime is 14141344949. The next prime is 14141345063. The reversal of 14141345040 is 4054314141.

14141345040 is a `hidden beast` number, since 14 + 14 + 134 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14141344995 and 14141345013.

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, 4506352 + ... + 4509488.

It is an arithmetic number, because the mean of its divisors is an integer number (304674696).

Almost surely, 2^14141345040 is an apocalyptic number.

14141345040 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 14141345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373975680).

14141345040 is an abundant number, since it is smaller than the sum of its proper divisors (34606606320).

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

14141345040 is a wasteful number, since it uses less digits than its factorization.

14141345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 5234 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14141345040 its reverse (4054314141), we get a palindrome (18195659181).

The spelling of 14141345040 in words is "fourteen billion, one hundred forty-one million, three hundred forty-five thousand, forty".