413214120414100 has 36 divisors (see below), whose sum is σ = 927594456522300. Its totient is φ = 159586143055360.

The previous prime is 413214120414049. The next prime is 413214120414131. The reversal of 413214120414100 is 1414021412314.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9398504227204 + 403815616186896 = 3065698^2 + 20095164^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71243810965 + ... + 71243816764.

It is an arithmetic number, because the mean of its divisors is an integer number (25766512681175).

Almost surely, 2^{413214120414100} is an apocalyptic number.

It is an amenable number.

413214120414100 is an abundant number, since it is smaller than the sum of its proper divisors (514380336108200).

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

413214120414100 is a wasteful number, since it uses less digits than its factorization.

413214120414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142487627772 (or 142487627765 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 413214120414100 its reverse (1414021412314), we get a palindrome (414628141826414).

The spelling of 413214120414100 in words is "four hundred thirteen trillion, two hundred fourteen billion, one hundred twenty million, four hundred fourteen thousand, one hundred".