4102201244440 has 128 divisors (see below), whose sum is σ = 10217126989440. Its totient is φ = 1472928178176.

The previous prime is 4102201244437. The next prime is 4102201244441. The reversal of 4102201244440 is 444421022014.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4102201244399 and 4102201244408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102201244441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2455669 + ... + 3772891.

It is an arithmetic number, because the mean of its divisors is an integer number (79821304605).

Almost surely, 2^{4102201244440} is an apocalyptic number.

4102201244440 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 4102201244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5108563494720).

4102201244440 is an abundant number, since it is smaller than the sum of its proper divisors (6114925745000).

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

4102201244440 is a wasteful number, since it uses less digits than its factorization.

4102201244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317413 (or 1317409 counting only the distinct ones).

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

Adding to 4102201244440 its reverse (444421022014), we get a palindrome (4546622266454).

The spelling of 4102201244440 in words is "four trillion, one hundred two billion, two hundred one million, two hundred forty-four thousand, four hundred forty".