416042361 has 48 divisors (see below), whose sum is σ = 700876800. Its totient is φ = 232917984.

The previous prime is 416042359. The next prime is 416042369. The reversal of 416042361 is 163240614.

It is not a de Polignac number, because 416042361 - 2¹ = 416042359 is a prime.

It is a super-2 number, since 2×416042361² = 346182492292908642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (416042369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890650 + ... + 891116.

It is an arithmetic number, because the mean of its divisors is an integer number (14601600).

Almost surely, 2^416042361 is an apocalyptic number.

It is an amenable number.

416042361 is a deficient number, since it is larger than the sum of its proper divisors (284834439).

416042361 is a wasteful number, since it uses less digits than its factorization.

416042361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 416042361 is about 20397.1164873862. The cubic root of 416042361 is about 746.5275691100.

Adding to 416042361 its reverse (163240614), we get a palindrome (579282975).

The spelling of 416042361 in words is "four hundred sixteen million, forty-two thousand, three hundred sixty-one".