42601606656 has 480 divisors, whose sum is σ = 143603665920. Its totient is φ = 11159285760.

The previous prime is 42601606633. The next prime is 42601606711. The reversal of 42601606656 is 65660610624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1374245361 + ... + 1374245391.

It is an arithmetic number, because the mean of its divisors is an integer number (299174304).

Almost surely, 2^42601606656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42601606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71801832960).

42601606656 is an abundant number, since it is smaller than the sum of its proper divisors (101002059264).

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

42601606656 is an frugal number, since it uses more digits than its factorization.

42601606656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 42601606656 in words is "forty-two billion, six hundred one million, six hundred six thousand, six hundred fifty-six".