201141441432 has 160 divisors (see below), whose sum is σ = 599651838720. Its totient is φ = 62772157440.

The previous prime is 201141441427. The next prime is 201141441433. The reversal of 201141441432 is 234144141102.

201141441432 is a `hidden beast` number, since 201 + 1 + 4 + 14 + 414 + 32 = 666.

It is a super-2 number, since 2×201141441432² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201141441396 and 201141441405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201141441433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2056258 + ... + 2151854.

It is an arithmetic number, because the mean of its divisors is an integer number (3747823992).

Almost surely, 2^201141441432 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 201141441432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299825919360).

201141441432 is an abundant number, since it is smaller than the sum of its proper divisors (398510397288).

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

201141441432 is a wasteful number, since it uses less digits than its factorization.

201141441432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95823 (or 95810 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 201141441432 its reverse (234144141102), we get a palindrome (435285582534).

The spelling of 201141441432 in words is "two hundred one billion, one hundred forty-one million, four hundred forty-one thousand, four hundred thirty-two".