407051616105 has 24 divisors (see below), whose sum is σ = 705665338560. Its totient is φ = 217060594080.

The previous prime is 407051616029. The next prime is 407051616107. The reversal of 407051616105 is 501616150704.

It is a happy number.

It is not a de Polignac number, because 407051616105 - 2¹⁹ = 407051091817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 407051616105.

It is not an unprimeable number, because it can be changed into a prime (407051616107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404685 + ... + 988874.

It is an arithmetic number, because the mean of its divisors is an integer number (29402722440).

Almost surely, 2^407051616105 is an apocalyptic number.

407051616105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

407051616105 is a deficient number, since it is larger than the sum of its proper divisors (298613722455).

407051616105 is a wasteful number, since it uses less digits than its factorization.

407051616105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400061 (or 1400058 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Adding to 407051616105 its reverse (501616150704), we get a palindrome (908667766809).

The spelling of 407051616105 in words is "four hundred seven billion, fifty-one million, six hundred sixteen thousand, one hundred five".