35044214401 has 27 divisors (see below), whose sum is σ = 41724858819. Its totient is φ = 29347126368.

The previous prime is 35044214389. The next prime is 35044214453. The reversal of 35044214401 is 10441244053.

The square root of 35044214401 is 187201.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5775848001 + 29268366400 = 75999^2 + 171080^2 .

It is not a de Polignac number, because 35044214401 - 2⁹ = 35044213889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 35044214401.

It is not an unprimeable number, because it can be changed into a prime (35044214501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61588845 + ... + 61589413.

Almost surely, 2^35044214401 is an apocalyptic number.

35044214401 is the 187201-st square number.

35044214401 is the 93601-st centered octagonal number.

It is an amenable number.

35044214401 is a deficient number, since it is larger than the sum of its proper divisors (6680644418).

35044214401 is an frugal number, since it uses more digits than its factorization.

35044214401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 35044214401 its reverse (10441244053), we get a palindrome (45485458454).

The spelling of 35044214401 in words is "thirty-five billion, forty-four million, two hundred fourteen thousand, four hundred one".