524431420128 has 288 divisors, whose sum is σ = 1874723864832. Its totient is φ = 136215256320.

The previous prime is 524431420109. The next prime is 524431420159. The reversal of 524431420128 is 821024134425.

524431420128 is a `hidden beast` number, since 5 + 2 + 443 + 1 + 4 + 201 + 2 + 8 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 524431420092 and 524431420101.

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, 2585575 + ... + 2781017.

It is an arithmetic number, because the mean of its divisors is an integer number (6509457864).

Almost surely, 2^524431420128 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 524431420128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937361932416).

524431420128 is an abundant number, since it is smaller than the sum of its proper divisors (1350292444704).

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

524431420128 is a wasteful number, since it uses less digits than its factorization.

524431420128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195499 (or 195466 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 524431420128 in words is "five hundred twenty-four billion, four hundred thirty-one million, four hundred twenty thousand, one hundred twenty-eight".