4102443332240 has 160 divisors (see below), whose sum is σ = 10429499969280. Its totient is φ = 1488330905600.

The previous prime is 4102443332231. The next prime is 4102443332321. The reversal of 4102443332240 is 422333442014.

It is a junction number, because it is equal to n+sod(n) for n = 4102443332197 and 4102443332206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 783354902 + ... + 783360138.

It is an arithmetic number, because the mean of its divisors is an integer number (65184374808).

Almost surely, 2^{4102443332240} is an apocalyptic number.

4102443332240 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 4102443332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214749984640).

4102443332240 is an abundant number, since it is smaller than the sum of its proper divisors (6327056637040).

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

4102443332240 is a wasteful number, since it uses less digits than its factorization.

4102443332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7161 (or 7155 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4102443332240 its reverse (422333442014), we get a palindrome (4524776774254).

The spelling of 4102443332240 in words is "four trillion, one hundred two billion, four hundred forty-three million, three hundred thirty-two thousand, two hundred forty".