413024210400 has 144 divisors (see below), whose sum is σ = 1363329491328. Its totient is φ = 108588480000.

The previous prime is 413024210387. The next prime is 413024210407. The reversal of 413024210400 is 4012420314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413024210407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1041526 + ... + 1382325.

It is an arithmetic number, because the mean of its divisors is an integer number (9467565912).

Almost surely, 2^413024210400 is an apocalyptic number.

413024210400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413024210400 is an abundant number, since it is smaller than the sum of its proper divisors (950305280928).

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

413024210400 is a wasteful number, since it uses less digits than its factorization.

413024210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423945 (or 2423932 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 413024210400 its reverse (4012420314), we get a palindrome (417036630714).

The spelling of 413024210400 in words is "four hundred thirteen billion, twenty-four million, two hundred ten thousand, four hundred".