416221103104 has 33 divisors (see below), whose sum is σ = 832077011901. Its totient is φ = 208100229120.

The previous prime is 416221103101. The next prime is 416221103119. The reversal of 416221103104 is 401301122614.

The square root of 416221103104 is 645152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 271699477504 + 144521625600 = 521248^2 + 380160^2 .

It is a super-2 number, since 2×416221103104² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416221103101) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 20634784 + ... + 20654944.

Almost surely, 2^416221103104 is an apocalyptic number.

416221103104 is the 645152-nd square number.

It is an amenable number.

416221103104 is a deficient number, since it is larger than the sum of its proper divisors (415855908797).

416221103104 is an frugal number, since it uses more digits than its factorization.

416221103104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40342 (or 20163 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Multiplying 416221103104 by its sum of digits (25), we get a square (10405527577600 = 3225760²).

Adding to 416221103104 its reverse (401301122614), we get a palindrome (817522225718).

The spelling of 416221103104 in words is "four hundred sixteen billion, two hundred twenty-one million, one hundred three thousand, one hundred four".