414144121045 has 16 divisors (see below), whose sum is σ = 526988602800. Its totient is φ = 311362781184.

The previous prime is 414144121033. The next prime is 414144121063. The reversal of 414144121045 is 540121441414.

It can be written as a sum of positive squares in 8 ways, for example, as 223024356 + 413921096689 = 14934^2 + 643367^2 .

It is a cyclic number.

It is not a de Polignac number, because 414144121045 - 2¹³ = 414144112853 is a prime.

It is a super-2 number, since 2×414144121045² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414144120998 and 414144121016.

It is a congruent number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 3562620 + ... + 3677029.

It is an arithmetic number, because the mean of its divisors is an integer number (32936787675).

Almost surely, 2^414144121045 is an apocalyptic number.

It is an amenable number.

414144121045 is a deficient number, since it is larger than the sum of its proper divisors (112844481755).

414144121045 is a wasteful number, since it uses less digits than its factorization.

414144121045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7240344.

The product of its (nonzero) digits is 10240, while the sum is 31.

Adding to 414144121045 its reverse (540121441414), we get a palindrome (954265562459).

The spelling of 414144121045 in words is "four hundred fourteen billion, one hundred forty-four million, one hundred twenty-one thousand, forty-five".