413100430400 has 168 divisors, whose sum is σ = 1170569501376. Its totient is φ = 140552755200.

The previous prime is 413100430399. The next prime is 413100430411. The reversal of 413100430400 is 4034001314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1326422 + ... + 1607978.

Almost surely, 2^413100430400 is an apocalyptic number.

413100430400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413100430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585284750688).

413100430400 is an abundant number, since it is smaller than the sum of its proper divisors (757469070976).

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

413100430400 is a wasteful number, since it uses less digits than its factorization.

413100430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281717 (or 281702 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 413100430400 its reverse (4034001314), we get a palindrome (417134431714).

The spelling of 413100430400 in words is "four hundred thirteen billion, one hundred million, four hundred thirty thousand, four hundred".