42602222220624 has 480 divisors, whose sum is σ = 136030564200960. Its totient is φ = 12333318681600.

The previous prime is 42602222220619. The next prime is 42602222220629.

42602222220624 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 2 + 2 + 2 + 2 + 2 + 20 + 624 = 666.

42602222220624 is nontrivially palindromic in base 10.

42602222220624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42602222220619) and next prime (42602222220629).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42602222220629) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 743686287 + ... + 743743569.

It is an arithmetic number, because the mean of its divisors is an integer number (283397008752).

Almost surely, 2^{42602222220624} is an apocalyptic number.

42602222220624 is a gapful number since it is divisible by the number (44) 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 42602222220624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68015282100480).

42602222220624 is an abundant number, since it is smaller than the sum of its proper divisors (93428341980336).

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

42602222220624 is a wasteful number, since it uses less digits than its factorization.

42602222220624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57591 (or 57582 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 4260222 and 2220624, that added together give a palindrome (6480846).

The spelling of 42602222220624 in words is "forty-two trillion, six hundred two billion, two hundred twenty-two million, two hundred twenty thousand, six hundred twenty-four".