444135243433140 has 864 divisors, whose sum is σ = 1661933473200000. Its totient is φ = 95458201380864.

The previous prime is 444135243433117. The next prime is 444135243433183. The reversal of 444135243433140 is 41334342531444.

444135243433140 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 35 + 2 + 43 + 433 + 140 = 666.

It is a super-2 number, since 2×444135243433140² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 38677625839 + ... + 38677637321.

It is an arithmetic number, because the mean of its divisors is an integer number (1923534112500).

Almost surely, 2^{444135243433140} 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 444135243433140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830966736600000).

444135243433140 is an abundant number, since it is smaller than the sum of its proper divisors (1217798229766860).

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

444135243433140 is a wasteful number, since it uses less digits than its factorization.

444135243433140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13229 (or 13217 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 45.

Adding to 444135243433140 its reverse (41334342531444), we get a palindrome (485469585964584).

The spelling of 444135243433140 in words is "four hundred forty-four trillion, one hundred thirty-five billion, two hundred forty-three million, four hundred thirty-three thousand, one hundred forty".