42144001011440 has 20 divisors (see below), whose sum is σ = 97984802351784. Its totient is φ = 16857600404544.

The previous prime is 42144001011433. The next prime is 42144001011461. The reversal of 42144001011440 is 4411010044124.

42144001011440 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×42144001011440³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 263400006242 + ... + 263400006401.

Almost surely, 2^{42144001011440} is an apocalyptic number.

42144001011440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42144001011440 is an abundant number, since it is smaller than the sum of its proper divisors (55840801340344).

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

42144001011440 is a wasteful number, since it uses less digits than its factorization.

42144001011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526800012656 (or 526800012650 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 42144001011440 its reverse (4411010044124), we get a palindrome (46555011055564).

The spelling of 42144001011440 in words is "forty-two trillion, one hundred forty-four billion, one million, eleven thousand, four hundred forty".