4014133152240 has 320 divisors, whose sum is σ = 13243698599040. Its totient is φ = 1003971870720.

The previous prime is 4014133152151. The next prime is 4014133152247. The reversal of 4014133152240 is 422513314104.

It is a super-2 number, since 2×4014133152240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4014133152198 and 4014133152207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014133152247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66458694 + ... + 66519066.

It is an arithmetic number, because the mean of its divisors is an integer number (41386558122).

Almost surely, 2^{4014133152240} is an apocalyptic number.

4014133152240 is a gapful number since it is divisible by the number (40) 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 4014133152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621849299520).

4014133152240 is an abundant number, since it is smaller than the sum of its proper divisors (9229565446800).

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

4014133152240 is a wasteful number, since it uses less digits than its factorization.

4014133152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60692 (or 60686 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 4014133152240 its reverse (422513314104), we get a palindrome (4436646466344).

The spelling of 4014133152240 in words is "four trillion, fourteen billion, one hundred thirty-three million, one hundred fifty-two thousand, two hundred forty".