413241442100 has 144 divisors (see below), whose sum is σ = 960396864000. Its totient is φ = 153994176000.

The previous prime is 413241442099. The next prime is 413241442109. The reversal of 413241442100 is 1244142314.

It is a self number, because there is not a number n which added to its sum of digits gives 413241442100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413241442109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31368515 + ... + 31381685.

Almost surely, 2^413241442100 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 413241442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480198432000).

413241442100 is an abundant number, since it is smaller than the sum of its proper divisors (547155421900).

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

413241442100 is a wasteful number, since it uses less digits than its factorization.

413241442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13594 (or 13587 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 413241442100 its reverse (1244142314), we get a palindrome (414485584414).

The spelling of 413241442100 in words is "four hundred thirteen billion, two hundred forty-one million, four hundred forty-two thousand, one hundred".