413033234321120 has 96 divisors (see below), whose sum is σ = 1115193513788928. Its totient is φ = 141610914482688.

The previous prime is 413033234321119. The next prime is 413033234321129. The reversal of 413033234321120 is 21123432330314.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413033234321129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533408477 + ... + 534182243.

It is an arithmetic number, because the mean of its divisors is an integer number (11616599101968).

Almost surely, 2^{413033234321120} is an apocalyptic number.

413033234321120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413033234321120 is an abundant number, since it is smaller than the sum of its proper divisors (702160279467808).

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

413033234321120 is a wasteful number, since it uses less digits than its factorization.

413033234321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250392 (or 1250384 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 413033234321120 its reverse (21123432330314), we get a palindrome (434156666651434).

The spelling of 413033234321120 in words is "four hundred thirteen trillion, thirty-three billion, two hundred thirty-four million, three hundred twenty-one thousand, one hundred twenty".