412333233444 has 144 divisors (see below), whose sum is σ = 1158803790144. Its totient is φ = 122568940800.

The previous prime is 412333233439. The next prime is 412333233461. The reversal of 412333233444 is 444332333214.

412333233444 is a `hidden beast` number, since 412 + 3 + 3 + 3 + 233 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×412333233444² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 412333233399 and 412333233408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8987307 + ... + 9033069.

Almost surely, 2^412333233444 is an apocalyptic number.

412333233444 is a gapful number since it is divisible by the number (44) 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 412333233444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579401895072).

412333233444 is an abundant number, since it is smaller than the sum of its proper divisors (746470556700).

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

412333233444 is a wasteful number, since it uses less digits than its factorization.

412333233444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46218 (or 46213 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 412333233444 its reverse (444332333214), we get a palindrome (856665566658).

The spelling of 412333233444 in words is "four hundred twelve billion, three hundred thirty-three million, two hundred thirty-three thousand, four hundred forty-four".