41352625314 has 288 divisors, whose sum is σ = 124507918080. Its totient is φ = 9645039360.

The previous prime is 41352625253. The next prime is 41352625331.

41352625314 is a `hidden beast` number, since 4 + 13 + 5 + 2 + 625 + 3 + 14 = 666.

41352625314 is nontrivially palindromic in base 10.

41352625314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7330507 + ... + 7336145.

It is an arithmetic number, because the mean of its divisors is an integer number (432319160).

Almost surely, 2^41352625314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41352625314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62253959040).

41352625314 is an abundant number, since it is smaller than the sum of its proper divisors (83155292766).

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

41352625314 is a wasteful number, since it uses less digits than its factorization.

41352625314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5726 (or 5712 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

It can be divided in two parts, 41352 and 625314, that added together give a palindrome (666666).

The spelling of 41352625314 in words is "forty-one billion, three hundred fifty-two million, six hundred twenty-five thousand, three hundred fourteen".