35241412545144 has 320 divisors, whose sum is σ = 108828962642400. Its totient is φ = 10585954520064.

The previous prime is 35241412545133. The next prime is 35241412545149. The reversal of 35241412545144 is 44154521414253.

35241412545144 is a `hidden beast` number, since 3 + 5 + 2 + 4 + 1 + 4 + 125 + 4 + 514 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 35241412545144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35241412545149) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 743638602 + ... + 743685990.

Almost surely, 2^{35241412545144} 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 35241412545144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54414481321200).

35241412545144 is an abundant number, since it is smaller than the sum of its proper divisors (73587550097256).

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

35241412545144 is a wasteful number, since it uses less digits than its factorization.

35241412545144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49516 (or 49503 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 45.

Adding to 35241412545144 its reverse (44154521414253), we get a palindrome (79395933959397).

The spelling of 35241412545144 in words is "thirty-five trillion, two hundred forty-one billion, four hundred twelve million, five hundred forty-five thousand, one hundred forty-four".