414401104144 has 10 divisors (see below), whose sum is σ = 802902139310. Its totient is φ = 207200552064.

The previous prime is 414401103979. The next prime is 414401104147. The reversal of 414401104144 is 441401104414.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 335658009600 + 78743094544 = 579360^2 + 280612^2 .

It is not an unprimeable number, because it can be changed into a prime (414401104147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12950034489 + ... + 12950034520.

It is an arithmetic number, because the mean of its divisors is an integer number (80290213931).

Almost surely, 2^414401104144 is an apocalyptic number.

It is an amenable number.

414401104144 is a deficient number, since it is larger than the sum of its proper divisors (388501035166).

414401104144 is a wasteful number, since it uses less digits than its factorization.

414401104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25900069017 (or 25900069011 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 414401104144 its reverse (441401104414), we get a palindrome (855802208558).

The spelling of 414401104144 in words is "four hundred fourteen billion, four hundred one million, one hundred four thousand, one hundred forty-four".