4142002031440 has 720 divisors, whose sum is σ = 12740232787200. Its totient is φ = 1225952133120.

The previous prime is 4142002031437. The next prime is 4142002031471. The reversal of 4142002031440 is 441302002414.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 5442840660 + ... + 5442841420.

It is an arithmetic number, because the mean of its divisors is an integer number (17694767760).

Almost surely, 2^{4142002031440} is an apocalyptic number.

4142002031440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142002031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370116393600).

4142002031440 is an abundant number, since it is smaller than the sum of its proper divisors (8598230755760).

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

4142002031440 is a wasteful number, since it uses less digits than its factorization.

4142002031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4142002031440 its reverse (441302002414), we get a palindrome (4583304033854).

The spelling of 4142002031440 in words is "four trillion, one hundred forty-two billion, two million, thirty-one thousand, four hundred forty".