4224404400040 has 64 divisors (see below), whose sum is σ = 10369360748160. Its totient is φ = 1536092517120.

The previous prime is 4224404400037. The next prime is 4224404400059. The reversal of 4224404400040 is 400044044224.

It is a junction number, because it is equal to n+sod(n) for n = 4224404399981 and 4224404400008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13477582 + ... + 13787458.

It is an arithmetic number, because the mean of its divisors is an integer number (162021261690).

Almost surely, 2^{4224404400040} is an apocalyptic number.

4224404400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224404400040 is an abundant number, since it is smaller than the sum of its proper divisors (6144956348120).

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

4224404400040 is a wasteful number, since it uses less digits than its factorization.

4224404400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340882 (or 340878 counting only the distinct ones).

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

Adding to 4224404400040 its reverse (400044044224), we get a palindrome (4624448444264).

The spelling of 4224404400040 in words is "four trillion, two hundred twenty-four billion, four hundred four million, four hundred thousand, forty".