413121120 has 96 divisors (see below), whose sum is σ = 1307819520. Its totient is φ = 109616640.

The previous prime is 413121119. The next prime is 413121139. The reversal of 413121120 is 21121314.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 413121120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99241 + ... + 103319.

It is an arithmetic number, because the mean of its divisors is an integer number (13623120).

Almost surely, 2^413121120 is an apocalyptic number.

413121120 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 413121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653909760).

413121120 is an abundant number, since it is smaller than the sum of its proper divisors (894698400).

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

413121120 is a wasteful number, since it uses less digits than its factorization.

413121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 413121120 is about 20325.3811772375. The cubic root of 413121120 is about 744.7762161369.

Adding to 413121120 its reverse (21121314), we get a palindrome (434242434).

The spelling of 413121120 in words is "four hundred thirteen million, one hundred twenty-one thousand, one hundred twenty".