42821007141 has 48 divisors (see below), whose sum is σ = 68592351744. Its totient is φ = 23637504000.

The previous prime is 42821007133. The next prime is 42821007149. The reversal of 42821007141 is 14170012824.

It is an interprime number because it is at equal distance from previous prime (42821007133) and next prime (42821007149).

It is not a de Polignac number, because 42821007141 - 2³ = 42821007133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42821007099 and 42821007108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42821007149) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 79381 + ... + 303221.

It is an arithmetic number, because the mean of its divisors is an integer number (1429007328).

Almost surely, 2^42821007141 is an apocalyptic number.

It is an amenable number.

42821007141 is a deficient number, since it is larger than the sum of its proper divisors (25771344603).

42821007141 is a wasteful number, since it uses less digits than its factorization.

42821007141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223914 (or 223903 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

Adding to 42821007141 its reverse (14170012824), we get a palindrome (56991019965).

The spelling of 42821007141 in words is "forty-two billion, eight hundred twenty-one million, seven thousand, one hundred forty-one".