2434440322440 has 144 divisors (see below), whose sum is σ = 9203674959180. Its totient is φ = 556443498240.

The previous prime is 2434440322423. The next prime is 2434440322441. The reversal of 2434440322440 is 442230444342.

2434440322440 is a `hidden beast` number, since 2 + 4 + 3 + 4 + 4 + 403 + 2 + 244 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2416613266116 + 17827056324 = 1554546^2 + 133518^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2434440322395 and 2434440322404.

It is not an unprimeable number, because it can be changed into a prime (2434440322441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68985771 + ... + 69021050.

Almost surely, 2^{2434440322440} is an apocalyptic number.

2434440322440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434440322440 is an abundant number, since it is smaller than the sum of its proper divisors (6769234636740).

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

2434440322440 is a wasteful number, since it uses less digits than its factorization.

2434440322440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138006852 (or 138006838 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 2434440322440 its reverse (442230444342), we get a palindrome (2876670766782).

The spelling of 2434440322440 in words is "two trillion, four hundred thirty-four billion, four hundred forty million, three hundred twenty-two thousand, four hundred forty".