40024002442240 has 88 divisors (see below), whose sum is σ = 96146128523880. Its totient is φ = 15987018989568.

The previous prime is 40024002442219. The next prime is 40024002442271. The reversal of 40024002442240 is 4224420042004.

It can be written as a sum of positive squares in 4 ways, for example, as 2591533310976 + 37432469131264 = 1609824^2 + 6118208^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40024002442199 and 40024002442208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1882747 + ... + 9142906.

Almost surely, 2^{40024002442240} is an apocalyptic number.

40024002442240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40024002442240 is an abundant number, since it is smaller than the sum of its proper divisors (56122126081640).

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

40024002442240 is a wasteful number, since it uses less digits than its factorization.

40024002442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11026387 (or 11026369 counting only the distinct ones).

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

Adding to 40024002442240 its reverse (4224420042004), we get a palindrome (44248422484244).

The spelling of 40024002442240 in words is "forty trillion, twenty-four billion, two million, four hundred forty-two thousand, two hundred forty".