416256351642 has 48 divisors (see below), whose sum is σ = 958204320840. Its totient is φ = 130346810496.

The previous prime is 416256351571. The next prime is 416256351647. The reversal of 416256351642 is 246153652614.

416256351642 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 5 + 635 + 1 + 6 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 409153401801 + 7102949841 = 639651^2 + 84279^2 .

It is not an unprimeable number, because it can be changed into a prime (416256351647) 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, 10756713 + ... + 10795340.

Almost surely, 2^416256351642 is an apocalyptic number.

416256351642 is an abundant number, since it is smaller than the sum of its proper divisors (541947969198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416256351642 is a wasteful number, since it uses less digits than its factorization.

416256351642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21552127 (or 21552124 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 416256351642 in words is "four hundred sixteen billion, two hundred fifty-six million, three hundred fifty-one thousand, six hundred forty-two".