413445322000 has 80 divisors (see below), whose sum is σ = 1001059892352. Its totient is φ = 165154953600.

The previous prime is 413445321973. The next prime is 413445322057. The reversal of 413445322000 is 223544314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 413445322000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1346887 + ... + 1625113.

Almost surely, 2^413445322000 is an apocalyptic number.

413445322000 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 413445322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500529946176).

413445322000 is an abundant number, since it is smaller than the sum of its proper divisors (587614570352).

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

413445322000 is a wasteful number, since it uses less digits than its factorization.

413445322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278993 (or 278977 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 413445322000 its reverse (223544314), we get a palindrome (413668866314).

The spelling of 413445322000 in words is "four hundred thirteen billion, four hundred forty-five million, three hundred twenty-two thousand".