42334655643324 has 192 divisors, whose sum is σ = 130204001733120. Its totient is φ = 11747729064960.

The previous prime is 42334655643289. The next prime is 42334655643377.

It is a happy number.

42334655643324 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 46 + 5 + 564 + 3 + 32 + 4 = 666.

42334655643324 is nontrivially palindromic in base 10.

42334655643324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 27579642 + ... + 29074145.

It is an arithmetic number, because the mean of its divisors is an integer number (678145842360).

Almost surely, 2^{42334655643324} is an apocalyptic number.

42334655643324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42334655643324 is an abundant number, since it is smaller than the sum of its proper divisors (87869346089796).

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

42334655643324 is a wasteful number, since it uses less digits than its factorization.

42334655643324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56653865 (or 56653857 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 54.

It can be divided in two parts, 4233465 and 5643324, that added together give a palindrome (9876789).

The spelling of 42334655643324 in words is "forty-two trillion, three hundred thirty-four billion, six hundred fifty-five million, six hundred forty-three thousand, three hundred twenty-four".