4221642657342 has 256 divisors, whose sum is σ = 9809256038400. Its totient is φ = 1198816819200.

The previous prime is 4221642657313. The next prime is 4221642657383. The reversal of 4221642657342 is 2437562461224.

It is a junction number, because it is equal to n+sod(n) for n = 4221642657291 and 4221642657300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7047817159 + ... + 7047817757.

It is an arithmetic number, because the mean of its divisors is an integer number (38317406400).

Almost surely, 2^{4221642657342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4221642657342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904628019200).

4221642657342 is an abundant number, since it is smaller than the sum of its proper divisors (5587613381058).

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

4221642657342 is a wasteful number, since it uses less digits than its factorization.

4221642657342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159.

The product of its digits is 3870720, while the sum is 48.

The spelling of 4221642657342 in words is "four trillion, two hundred twenty-one billion, six hundred forty-two million, six hundred fifty-seven thousand, three hundred forty-two".