201424351333504 has 256 divisors, whose sum is σ = 470712465669600. Its totient is φ = 84989863526400.

The previous prime is 201424351333477. The next prime is 201424351333529. The reversal of 201424351333504 is 405333153424102.

It can be written as a sum of positive squares in 16 ways, for example, as 131163879182400 + 70260472151104 = 11452680^2 + 8382152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628880152 + ... + 629200360.

Almost surely, 2^{201424351333504} 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 201424351333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235356232834800).

201424351333504 is an abundant number, since it is smaller than the sum of its proper divisors (269288114336096).

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

201424351333504 is a wasteful number, since it uses less digits than its factorization.

201424351333504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320891 (or 320879 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 201424351333504 in words is "two hundred one trillion, four hundred twenty-four billion, three hundred fifty-one million, three hundred thirty-three thousand, five hundred four".