424040000440416 has 192 divisors, whose sum is σ = 1170469332043200. Its totient is φ = 134223396249600.

The previous prime is 424040000440403. The next prime is 424040000440451. The reversal of 424040000440416 is 614044000040424.

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 31 ways as a sum of consecutive naturals, for example, 2007383890 + ... + 2007595118.

It is an arithmetic number, because the mean of its divisors is an integer number (6096194437725).

Almost surely, 2^{424040000440416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424040000440416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585234666021600).

424040000440416 is an abundant number, since it is smaller than the sum of its proper divisors (746429331602784).

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

424040000440416 is a wasteful number, since it uses less digits than its factorization.

424040000440416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223153 (or 223145 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 424040000440416 in words is "four hundred twenty-four trillion, forty billion, four hundred forty thousand, four hundred sixteen".