4414020301040 has 240 divisors, whose sum is σ = 11992854158208. Its totient is φ = 1506452193792.

The previous prime is 4414020301037. The next prime is 4414020301049. The reversal of 4414020301040 is 401030204144.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4414020300997 and 4414020301015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414020301049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1645179539 + ... + 1645182221.

Almost surely, 2^{4414020301040} is an apocalyptic number.

4414020301040 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 4414020301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996427079104).

4414020301040 is an abundant number, since it is smaller than the sum of its proper divisors (7578833857168).

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

4414020301040 is a wasteful number, since it uses less digits than its factorization.

4414020301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 4414020301040 its reverse (401030204144), we get a palindrome (4815050505184).

The spelling of 4414020301040 in words is "four trillion, four hundred fourteen billion, twenty million, three hundred one thousand, forty".