40224022440040 has 16 divisors (see below), whose sum is σ = 90504050490180. Its totient is φ = 16089608976000.

The previous prime is 40224022440029. The next prime is 40224022440047. The reversal of 40224022440040 is 4004422042204.

It can be written as a sum of positive squares in 2 ways, for example, as 37594286690724 + 2629735749316 = 6131418^2 + 1621646^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40224022439990 and 40224022440008.

It is not an unprimeable number, because it can be changed into a prime (40224022440047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 502800280461 + ... + 502800280540.

Almost surely, 2^{40224022440040} is an apocalyptic number.

40224022440040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40224022440040 is an abundant number, since it is smaller than the sum of its proper divisors (50280028050140).

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

40224022440040 is a wasteful number, since it uses less digits than its factorization.

40224022440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005600561012 (or 1005600561008 counting only the distinct ones).

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

Adding to 40224022440040 its reverse (4004422042204), we get a palindrome (44228444482244).

The spelling of 40224022440040 in words is "forty trillion, two hundred twenty-four billion, twenty-two million, four hundred forty thousand, forty".