44312440312040 has 64 divisors (see below), whose sum is σ = 100282976750160. Its totient is φ = 17621874995200.

The previous prime is 44312440312033. The next prime is 44312440312067. The reversal of 44312440312040 is 4021304421344.

It can be written as a sum of positive squares in 8 ways, for example, as 43798268136676 + 514172175364 = 6618026^2 + 717058^2 .

It is a junction number, because it is equal to n+sod(n) for n = 44312440311988 and 44312440312006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218577602 + ... + 218780238.

Almost surely, 2^{44312440312040} is an apocalyptic number.

44312440312040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44312440312040 is an abundant number, since it is smaller than the sum of its proper divisors (55970536438120).

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

44312440312040 is a wasteful number, since it uses less digits than its factorization.

44312440312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234422 (or 234418 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 44312440312040 its reverse (4021304421344), we get a palindrome (48333744733384).

The spelling of 44312440312040 in words is "forty-four trillion, three hundred twelve billion, four hundred forty million, three hundred twelve thousand, forty".