424109859552 has 288 divisors, whose sum is σ = 1269269688960. Its totient is φ = 139284334080.

The previous prime is 424109859533. The next prime is 424109859559. The reversal of 424109859552 is 255958901424.

424109859552 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 0 + 9 + 85 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424109859559) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328512027 + ... + 328513317.

It is an arithmetic number, because the mean of its divisors is an integer number (4407186420).

Almost surely, 2^424109859552 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 424109859552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634634844480).

424109859552 is an abundant number, since it is smaller than the sum of its proper divisors (845159829408).

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

424109859552 is a wasteful number, since it uses less digits than its factorization.

424109859552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 424109859552 in words is "four hundred twenty-four billion, one hundred nine million, eight hundred fifty-nine thousand, five hundred fifty-two".