413033420100 has 144 divisors (see below), whose sum is σ = 1366540535808. Its totient is φ = 94353951360.

The previous prime is 413033420089. The next prime is 413033420117. The reversal of 413033420100 is 1024330314.

It is a super-2 number, since 2×413033420100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3697669 + ... + 3807731.

It is an arithmetic number, because the mean of its divisors is an integer number (9489864832).

Almost surely, 2^413033420100 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 413033420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683270267904).

413033420100 is an abundant number, since it is smaller than the sum of its proper divisors (953507115708).

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

413033420100 is a wasteful number, since it uses less digits than its factorization.

413033420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111874 (or 111867 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 413033420100 its reverse (1024330314), we get a palindrome (414057750414).

The spelling of 413033420100 in words is "four hundred thirteen billion, thirty-three million, four hundred twenty thousand, one hundred".