444213312408 has 160 divisors (see below), whose sum is σ = 1257505151760. Its totient is φ = 146491027200.

The previous prime is 444213312401. The next prime is 444213312419. The reversal of 444213312408 is 804213312444.

444213312408 is a `hidden beast` number, since 4 + 4 + 4 + 213 + 31 + 2 + 408 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444213312401) 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, 144834891 + ... + 144837957.

Almost surely, 2^444213312408 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 444213312408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628752575880).

444213312408 is an abundant number, since it is smaller than the sum of its proper divisors (813291839352).

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

444213312408 is a wasteful number, since it uses less digits than its factorization.

444213312408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5399 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 444213312408 its sum of digits (36), we get a palindrome (444213312444).

The spelling of 444213312408 in words is "four hundred forty-four billion, two hundred thirteen million, three hundred twelve thousand, four hundred eight".