14444204100040 has 256 divisors, whose sum is σ = 38645872312320. Its totient is φ = 4789753482240.

The previous prime is 14444204100023. The next prime is 14444204100049. The reversal of 14444204100040 is 4000140244441.

It is a super-2 number, since 2×14444204100040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14444204099981 and 14444204100008.

It is not an unprimeable number, because it can be changed into a prime (14444204100049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155657737 + ... + 155750503.

It is an arithmetic number, because the mean of its divisors is an integer number (150960438720).

Almost surely, 2^{14444204100040} is an apocalyptic number.

14444204100040 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 14444204100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19322936156160).

14444204100040 is an abundant number, since it is smaller than the sum of its proper divisors (24201668212280).

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

14444204100040 is a wasteful number, since it uses less digits than its factorization.

14444204100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93132 (or 93128 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 14444204100040 its reverse (4000140244441), we get a palindrome (18444344344481).

The spelling of 14444204100040 in words is "fourteen trillion, four hundred forty-four billion, two hundred four million, one hundred thousand, forty".