434201112144 has 80 divisors (see below), whose sum is σ = 1248856943040. Its totient is φ = 144438860160.

The previous prime is 434201112119. The next prime is 434201112157. The reversal of 434201112144 is 441211102434.

434201112144 is a `hidden beast` number, since 434 + 2 + 0 + 1 + 11 + 214 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 811407 + ... + 1235630.

It is an arithmetic number, because the mean of its divisors is an integer number (15610711788).

Almost surely, 2^434201112144 is an apocalyptic number.

It is an amenable number.

434201112144 is an abundant number, since it is smaller than the sum of its proper divisors (814655830896).

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

434201112144 is a wasteful number, since it uses less digits than its factorization.

434201112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047545 (or 2047533 counting only the distinct ones).

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

Adding to 434201112144 its reverse (441211102434), we get a palindrome (875412214578).

The spelling of 434201112144 in words is "four hundred thirty-four billion, two hundred one million, one hundred twelve thousand, one hundred forty-four".