412304020000 has 240 divisors, whose sum is σ = 1051891255800. Its totient is φ = 158842880000.

The previous prime is 412304019991. The next prime is 412304020003. The reversal of 412304020000 is 20403214.

It can be written as a sum of positive squares in 20 ways, for example, as 195360464016 + 216943555984 = 441996^2 + 465772^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (412304020003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 371779446 + ... + 371780554.

Almost surely, 2^412304020000 is an apocalyptic number.

412304020000 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 412304020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525945627900).

412304020000 is an abundant number, since it is smaller than the sum of its proper divisors (639587235800).

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

412304020000 is a wasteful number, since it uses less digits than its factorization.

412304020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 412304020000 its reverse (20403214), we get a palindrome (412324423214).

The spelling of 412304020000 in words is "four hundred twelve billion, three hundred four million, twenty thousand".