442441140413440 has 88 divisors (see below), whose sum is σ = 1212960287276352. Its totient is φ = 151694105272320.

The previous prime is 442441140413413. The next prime is 442441140413453. The reversal of 442441140413440 is 44314041144244.

It is a super-3 number, since 3×442441140413440³ (a number of 45 digits) contains 333 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 = 442441140413393 and 442441140413402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6172413106 + ... + 6172484785.

Almost surely, 2^{442441140413440} is an apocalyptic number.

442441140413440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442441140413440 is an abundant number, since it is smaller than the sum of its proper divisors (770519146862912).

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

442441140413440 is a wasteful number, since it uses less digits than its factorization.

442441140413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12344897923 (or 12344897905 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 40.

Adding to 442441140413440 its reverse (44314041144244), we get a palindrome (486755181557684).

The spelling of 442441140413440 in words is "four hundred forty-two trillion, four hundred forty-one billion, one hundred forty million, four hundred thirteen thousand, four hundred forty".