413468444312 has 128 divisors (see below), whose sum is σ = 998805012480. Its totient is φ = 155726928000.

The previous prime is 413468444293. The next prime is 413468444317. The reversal of 413468444312 is 213444864314.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413468444317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18454637 + ... + 18477027.

It is an arithmetic number, because the mean of its divisors is an integer number (7803164160).

Almost surely, 2^413468444312 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 413468444312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499402506240).

413468444312 is an abundant number, since it is smaller than the sum of its proper divisors (585336568168).

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

413468444312 is a wasteful number, since it uses less digits than its factorization.

413468444312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23413 (or 23409 counting only the distinct ones).

The product of its digits is 884736, while the sum is 44.

The spelling of 413468444312 in words is "four hundred thirteen billion, four hundred sixty-eight million, four hundred forty-four thousand, three hundred twelve".