444164133140 has 384 divisors, whose sum is σ = 1210889530368. Its totient is φ = 133135073280.

The previous prime is 444164133137. The next prime is 444164133163. The reversal of 444164133140 is 41331461444.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 444164133140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 364965812 + ... + 364967028.

It is an arithmetic number, because the mean of its divisors is an integer number (3153358152).

Almost surely, 2^444164133140 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 444164133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605444765184).

444164133140 is an abundant number, since it is smaller than the sum of its proper divisors (766725397228).

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

444164133140 is a wasteful number, since it uses less digits than its factorization.

444164133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 444164133140 its reverse (41331461444), we get a palindrome (485495594584).

The spelling of 444164133140 in words is "four hundred forty-four billion, one hundred sixty-four million, one hundred thirty-three thousand, one hundred forty".