416260640164 has 48 divisors (see below), whose sum is σ = 752872761648. Its totient is φ = 201226526208.

The previous prime is 416260640161. The next prime is 416260640203. The reversal of 416260640164 is 461046062614.

It can be written as a sum of positive squares in 8 ways, for example, as 27373702500 + 388886937664 = 165450^2 + 623608^2 .

It is not an unprimeable number, because it can be changed into a prime (416260640161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68948554 + ... + 68954590.

It is an arithmetic number, because the mean of its divisors is an integer number (15684849201).

Almost surely, 2^416260640164 is an apocalyptic number.

It is an amenable number.

416260640164 is a deficient number, since it is larger than the sum of its proper divisors (336612121484).

416260640164 is a wasteful number, since it uses less digits than its factorization.

416260640164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8944 (or 8942 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 416260640164 in words is "four hundred sixteen billion, two hundred sixty million, six hundred forty thousand, one hundred sixty-four".