413151410100 has 432 divisors, whose sum is σ = 1415414407680. Its totient is φ = 92235686400.

The previous prime is 413151410093. The next prime is 413151410129. The reversal of 413151410100 is 1014151314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 405447391 + ... + 405448409.

It is an arithmetic number, because the mean of its divisors is an integer number (3276422240).

Almost surely, 2^413151410100 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 413151410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707707203840).

413151410100 is an abundant number, since it is smaller than the sum of its proper divisors (1002262997580).

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

413151410100 is a wasteful number, since it uses less digits than its factorization.

413151410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 413151410100 its reverse (1014151314), we get a palindrome (414165561414).

The spelling of 413151410100 in words is "four hundred thirteen billion, one hundred fifty-one million, four hundred ten thousand, one hundred".