424418336004096 has 576 divisors, whose sum is σ = 1449491574585600. Its totient is φ = 117058933555200.

The previous prime is 424418336004043. The next prime is 424418336004197. The reversal of 424418336004096 is 690400633814424.

424418336004096 is a `hidden beast` number, since 4 + 2 + 441 + 83 + 36 + 0 + 0 + 4 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39403795191 + ... + 39403805961.

It is an arithmetic number, because the mean of its divisors is an integer number (2516478428100).

Almost surely, 2^{424418336004096} 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 424418336004096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724745787292800).

424418336004096 is an abundant number, since it is smaller than the sum of its proper divisors (1025073238581504).

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

424418336004096 is a wasteful number, since it uses less digits than its factorization.

424418336004096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21366 (or 21343 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 424418336004096 in words is "four hundred twenty-four trillion, four hundred eighteen billion, three hundred thirty-six million, four thousand, ninety-six".