414145444100 has 18 divisors (see below), whose sum is σ = 898695613914. Its totient is φ = 165658177600.

The previous prime is 414145444093. The next prime is 414145444129. The reversal of 414145444100 is 1444541414.

It can be written as a sum of positive squares in 3 ways, for example, as 9774090496 + 404371353604 = 98864^2 + 635902^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2070727121 + ... + 2070727320.

Almost surely, 2^414145444100 is an apocalyptic number.

It is an amenable number.

414145444100 is an abundant number, since it is smaller than the sum of its proper divisors (484550169814).

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

414145444100 is a wasteful number, since it uses less digits than its factorization.

414145444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141454455 (or 4141454448 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

Adding to 414145444100 its reverse (1444541414), we get a palindrome (415589985514).

The spelling of 414145444100 in words is "four hundred fourteen billion, one hundred forty-five million, four hundred forty-four thousand, one hundred".