413034324120 has 512 divisors, whose sum is σ = 1526945126400. Its totient is φ = 98471116800.

The previous prime is 413034324083. The next prime is 413034324133. The reversal of 413034324120 is 21423430314.

413034324120 is a `hidden beast` number, since 413 + 0 + 3 + 4 + 3 + 241 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 555900469 + ... + 555901211.

It is an arithmetic number, because the mean of its divisors is an integer number (2982314700).

Almost surely, 2^413034324120 is an apocalyptic number.

413034324120 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 413034324120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763472563200).

413034324120 is an abundant number, since it is smaller than the sum of its proper divisors (1113910802280).

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

413034324120 is a wasteful number, since it uses less digits than its factorization.

413034324120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 413034324120 its reverse (21423430314), we get a palindrome (434457754434).

The spelling of 413034324120 in words is "four hundred thirteen billion, thirty-four million, three hundred twenty-four thousand, one hundred twenty".