4000224240240 has 40 divisors (see below), whose sum is σ = 12400695145488. Its totient is φ = 1066726464000.

The previous prime is 4000224240239. The next prime is 4000224240241. The reversal of 4000224240240 is 420424220004.

It is an interprime number because it is at equal distance from previous prime (4000224240239) and next prime (4000224240241).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4000224240240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000224240241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8333800261 + ... + 8333800740.

Almost surely, 2^{4000224240240} is an apocalyptic number.

4000224240240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000224240240 is an abundant number, since it is smaller than the sum of its proper divisors (8400470905248).

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

4000224240240 is a wasteful number, since it uses less digits than its factorization.

4000224240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16667601017 (or 16667601011 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4000224240240 its reverse (420424220004), we get a palindrome (4420648460244).

The spelling of 4000224240240 in words is "four trillion, two hundred twenty-four million, two hundred forty thousand, two hundred forty".