414103024100 has 72 divisors (see below), whose sum is σ = 900374539008. Its totient is φ = 165315168000.

The previous prime is 414103024099. The next prime is 414103024103. The reversal of 414103024100 is 1420301414.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (414103024103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176137925 + ... + 176140275.

Almost surely, 2^414103024100 is an apocalyptic number.

It is an amenable number.

414103024100 is an abundant number, since it is smaller than the sum of its proper divisors (486271514908).

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

414103024100 is a wasteful number, since it uses less digits than its factorization.

414103024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 414103024100 its reverse (1420301414), we get a palindrome (415523325514).

The spelling of 414103024100 in words is "four hundred fourteen billion, one hundred three million, twenty-four thousand, one hundred".