412400033344 has 56 divisors (see below), whose sum is σ = 882042750008. Its totient is φ = 190179532800.

The previous prime is 412400033341. The next prime is 412400033377. The reversal of 412400033344 is 443330004214.

It can be written as a sum of positive squares in 4 ways, for example, as 2687385600 + 409712647744 = 51840^2 + 640088^2 .

It is not an unprimeable number, because it can be changed into a prime (412400033341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 792874 + ... + 1205590.

It is an arithmetic number, because the mean of its divisors is an integer number (15750763393).

Almost surely, 2^412400033344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412400033344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441021375004).

412400033344 is an abundant number, since it is smaller than the sum of its proper divisors (469642716664).

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

412400033344 is a wasteful number, since it uses less digits than its factorization.

412400033344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413943 (or 413933 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 412400033344 its reverse (443330004214), we get a palindrome (855730037558).

The spelling of 412400033344 in words is "four hundred twelve billion, four hundred million, thirty-three thousand, three hundred forty-four".