4133340242240 has 448 divisors, whose sum is σ = 11398790430720. Its totient is φ = 1413974016000.

The previous prime is 4133340242203. The next prime is 4133340242249. The reversal of 4133340242240 is 422420433314.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4133340242197 and 4133340242206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4133340242249) 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, 490250825 + ... + 490259255.

It is an arithmetic number, because the mean of its divisors is an integer number (25443728640).

Almost surely, 2^{4133340242240} is an apocalyptic number.

4133340242240 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 4133340242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5699395215360).

4133340242240 is an abundant number, since it is smaller than the sum of its proper divisors (7265450188480).

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

4133340242240 is a wasteful number, since it uses less digits than its factorization.

4133340242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8622 (or 8612 counting only the distinct ones).

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

Adding to 4133340242240 its reverse (422420433314), we get a palindrome (4555760675554).

The spelling of 4133340242240 in words is "four trillion, one hundred thirty-three billion, three hundred forty million, two hundred forty-two thousand, two hundred forty".