42101040024 has 48 divisors (see below), whose sum is σ = 115892902320. Its totient is φ = 13803618240.

The previous prime is 42101040019. The next prime is 42101040071. The reversal of 42101040024 is 42004010124.

It is a super-2 number, since 2×42101040024² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42101039979 and 42101040006.

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 11 ways as a sum of consecutive naturals, for example, 4788532 + ... + 4797315.

It is an arithmetic number, because the mean of its divisors is an integer number (2414435465).

Almost surely, 2^42101040024 is an apocalyptic number.

It is an amenable number.

42101040024 is an abundant number, since it is smaller than the sum of its proper divisors (73791862296).

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

42101040024 is a wasteful number, since it uses less digits than its factorization.

42101040024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9585920 (or 9585913 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 42101040024 its reverse (42004010124), we get a palindrome (84105050148).

The spelling of 42101040024 in words is "forty-two billion, one hundred one million, forty thousand, twenty-four".