4000424240440 has 64 divisors (see below), whose sum is σ = 9301420800000. Its totient is φ = 1546865838720.

The previous prime is 4000424240413. The next prime is 4000424240443. The reversal of 4000424240440 is 440424240004.

It is a junction number, because it is equal to n+sod(n) for n = 4000424240399 and 4000424240408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000424240443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615690 + ... + 2894809.

It is an arithmetic number, because the mean of its divisors is an integer number (145334700000).

Almost surely, 2^{4000424240440} is an apocalyptic number.

4000424240440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000424240440 is an abundant number, since it is smaller than the sum of its proper divisors (5300996559560).

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

4000424240440 is a wasteful number, since it uses less digits than its factorization.

4000424240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511460 (or 3511456 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4000424240440 its reverse (440424240004), we get a palindrome (4440848480444).

The spelling of 4000424240440 in words is "four trillion, four hundred twenty-four million, two hundred forty thousand, four hundred forty".