440115101 has 2 divisors, whose sum is σ = 440115102. Its totient is φ = 440115100.

The previous prime is 440115079. The next prime is 440115113. The reversal of 440115101 is 101511044.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 369639076 + 70476025 = 19226^2 + 8395^2 .

It is a cyclic number.

It is not a de Polignac number, because 440115101 - 2¹⁸ = 439852957 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 440115101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (440115001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 220057550 + 220057551.

It is an arithmetic number, because the mean of its divisors is an integer number (220057551).

Almost surely, 2^440115101 is an apocalyptic number.

It is an amenable number.

440115101 is a deficient number, since it is larger than the sum of its proper divisors (1).

440115101 is an equidigital number, since it uses as much as digits as its factorization.

440115101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 440115101 is about 20978.9203964360. The cubic root of 440115101 is about 760.6568081323.

Adding to 440115101 its reverse (101511044), we get a palindrome (541626145).

The spelling of 440115101 in words is "four hundred forty million, one hundred fifteen thousand, one hundred one".