424404424444416 has 640 divisors, whose sum is σ = 1292068602316800. Its totient is φ = 122795207884800.

The previous prime is 424404424444409. The next prime is 424404424444499. The reversal of 424404424444416 is 614444424404424.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83232871435 + ... + 83232876533.

It is an arithmetic number, because the mean of its divisors is an integer number (2018857191120).

Almost surely, 2^{424404424444416} is an apocalyptic number.

424404424444416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424404424444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646034301158400).

424404424444416 is an abundant number, since it is smaller than the sum of its proper divisors (867664177872384).

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

424404424444416 is a wasteful number, since it uses less digits than its factorization.

424404424444416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8188 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 25165824, while the sum is 51.

The spelling of 424404424444416 in words is "four hundred twenty-four trillion, four hundred four billion, four hundred twenty-four million, four hundred forty-four thousand, four hundred sixteen".