42021333312024 has 32 divisors (see below), whose sum is σ = 114603636306240. Its totient is φ = 12733737367200.

The previous prime is 42021333312019. The next prime is 42021333312029.

It is a happy number.

42021333312024 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42021333312019) and next prime (42021333312029).

It is a junction number, because it is equal to n+sod(n) for n = 42021333311982 and 42021333312000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42021333312029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79585858282 + ... + 79585858809.

It is an arithmetic number, because the mean of its divisors is an integer number (3581363634570).

Almost surely, 2^{42021333312024} is an apocalyptic number.

42021333312024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42021333312024 is an abundant number, since it is smaller than the sum of its proper divisors (72582302994216).

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

42021333312024 is a wasteful number, since it uses less digits than its factorization.

42021333312024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159171717111 (or 159171717107 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 4202133 and 3312024, that added together give a palindrome (7514157).

The spelling of 42021333312024 in words is "forty-two trillion, twenty-one billion, three hundred thirty-three million, three hundred twelve thousand, twenty-four".