412004334120 has 128 divisors (see below), whose sum is σ = 1251576144000. Its totient is φ = 108485858304.

The previous prime is 412004334097. The next prime is 412004334163. The reversal of 412004334120 is 21433400214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20437806 + ... + 20457954.

It is an arithmetic number, because the mean of its divisors is an integer number (9777938625).

Almost surely, 2^412004334120 is an apocalyptic number.

412004334120 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 412004334120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625788072000).

412004334120 is an abundant number, since it is smaller than the sum of its proper divisors (839571809880).

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

412004334120 is a wasteful number, since it uses less digits than its factorization.

412004334120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22299 (or 22295 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 412004334120 its reverse (21433400214), we get a palindrome (433437734334).

The spelling of 412004334120 in words is "four hundred twelve billion, four million, three hundred thirty-four thousand, one hundred twenty".