413402452100 has 144 divisors (see below), whose sum is σ = 1036876510656. Its totient is φ = 141393408000.

The previous prime is 413402452093. The next prime is 413402452237. The reversal of 413402452100 is 1254204314.

It is a self number, because there is not a number n which added to its sum of digits gives 413402452100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32774795 + ... + 32787405.

It is an arithmetic number, because the mean of its divisors is an integer number (7200531324).

Almost surely, 2^413402452100 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 413402452100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518438255328).

413402452100 is an abundant number, since it is smaller than the sum of its proper divisors (623474058556).

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

413402452100 is a wasteful number, since it uses less digits than its factorization.

413402452100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14406 (or 14399 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 413402452100 its reverse (1254204314), we get a palindrome (414656656414).

The spelling of 413402452100 in words is "four hundred thirteen billion, four hundred two million, four hundred fifty-two thousand, one hundred".