413414211242100 has 36 divisors (see below), whose sum is σ = 1196145117861344. Its totient is φ = 110243789664480.

The previous prime is 413414211242099. The next prime is 413414211242129. The reversal of 413414211242100 is 1242112414314.

It is a super-2 number, since 2×413414211242100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 689023685104 + ... + 689023685703.

Almost surely, 2^{413414211242100} is an apocalyptic number.

It is an amenable number.

413414211242100 is an abundant number, since it is smaller than the sum of its proper divisors (782730906619244).

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

413414211242100 is a wasteful number, since it uses less digits than its factorization.

413414211242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378047370824 (or 1378047370817 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 413414211242100 its reverse (1242112414314), we get a palindrome (414656323656414).

The spelling of 413414211242100 in words is "four hundred thirteen trillion, four hundred fourteen billion, two hundred eleven million, two hundred forty-two thousand, one hundred".