424312044362304 has 448 divisors, whose sum is σ = 1363272083712000. Its totient is φ = 113701229199360.

The previous prime is 424312044362203. The next prime is 424312044362377. The reversal of 424312044362304 is 403263440213424.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×424312044362304³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 17144601322 + ... + 17144626070.

It is an arithmetic number, because the mean of its divisors is an integer number (3043018044000).

Almost surely, 2^{424312044362304} 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 424312044362304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681636041856000).

424312044362304 is an abundant number, since it is smaller than the sum of its proper divisors (938960039349696).

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

424312044362304 is a wasteful number, since it uses less digits than its factorization.

424312044362304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27386 (or 27376 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

Adding to 424312044362304 its reverse (403263440213424), we get a palindrome (827575484575728).

The spelling of 424312044362304 in words is "four hundred twenty-four trillion, three hundred twelve billion, forty-four million, three hundred sixty-two thousand, three hundred four".