444243031133440 has 144 divisors (see below), whose sum is σ = 1326671234179200. Its totient is φ = 138465360322560.

The previous prime is 444243031133431. The next prime is 444243031133509. The reversal of 444243031133440 is 44331130342444.

It is a super-2 number, since 2×444243031133440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 444243031133393 and 444243031133402.

It is a congruent number.

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, 2253569415 + ... + 2253766534.

It is an arithmetic number, because the mean of its divisors is an integer number (9212994681800).

Almost surely, 2^{444243031133440} is an apocalyptic number.

444243031133440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444243031133440 is an abundant number, since it is smaller than the sum of its proper divisors (882428203045760).

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

444243031133440 is a wasteful number, since it uses less digits than its factorization.

444243031133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4507335988 (or 4507335974 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 444243031133440 its reverse (44331130342444), we get a palindrome (488574161475884).

The spelling of 444243031133440 in words is "four hundred forty-four trillion, two hundred forty-three billion, thirty-one million, one hundred thirty-three thousand, four hundred forty".