14133450540240 has 320 divisors, whose sum is σ = 48961553998080. Its totient is φ = 3747290480640.

The previous prime is 14133450540239. The next prime is 14133450540257. The reversal of 14133450540240 is 4204505433141.

14133450540240 is a `hidden beast` number, since 1 + 4 + 1 + 33 + 45 + 0 + 540 + 2 + 40 = 666.

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 = 14133450540195 and 14133450540204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 830833335 + ... + 830850345.

It is an arithmetic number, because the mean of its divisors is an integer number (153004856244).

Almost surely, 2^{14133450540240} is an apocalyptic number.

14133450540240 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 14133450540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24480776999040).

14133450540240 is an abundant number, since it is smaller than the sum of its proper divisors (34828103457840).

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

14133450540240 is a wasteful number, since it uses less digits than its factorization.

14133450540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19219 (or 19207 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 14133450540240 its reverse (4204505433141), we get a palindrome (18337955973381).

The spelling of 14133450540240 in words is "fourteen trillion, one hundred thirty-three billion, four hundred fifty million, five hundred forty thousand, two hundred forty".