414104352100 has 72 divisors (see below), whose sum is σ = 948628971360. Its totient is φ = 156471275520.

The previous prime is 414104352097. The next prime is 414104352187. The reversal of 414104352100 is 1253401414.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345252 + ... + 973348.

It is an arithmetic number, because the mean of its divisors is an integer number (13175402380).

Almost surely, 2^414104352100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414104352100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474314485680).

414104352100 is an abundant number, since it is smaller than the sum of its proper divisors (534524619260).

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

414104352100 is a wasteful number, since it uses less digits than its factorization.

414104352100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628477 (or 628470 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 414104352100 its reverse (1253401414), we get a palindrome (415357753514).

The spelling of 414104352100 in words is "four hundred fourteen billion, one hundred four million, three hundred fifty-two thousand, one hundred".