14241083040 has 288 divisors, whose sum is σ = 51355938816. Its totient is φ = 3725429760.

The previous prime is 14241083023. The next prime is 14241083063. The reversal of 14241083040 is 4038014241.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 14241082995 and 14241083013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2057185 + ... + 2064095.

It is an arithmetic number, because the mean of its divisors is an integer number (178319232).

Almost surely, 2^14241083040 is an apocalyptic number.

14241083040 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 14241083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25677969408).

14241083040 is an abundant number, since it is smaller than the sum of its proper divisors (37114855776).

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

14241083040 is an equidigital number, since it uses as much as digits as its factorization.

14241083040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994 (or 6974 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14241083040 its reverse (4038014241), we get a palindrome (18279097281).

The spelling of 14241083040 in words is "fourteen billion, two hundred forty-one million, eighty-three thousand, forty".