42622128640 has 480 divisors, whose sum is σ = 130486023360. Its totient is φ = 13230637056.

The previous prime is 42622128623. The next prime is 42622128643. The reversal of 42622128640 is 4682122624.

It is a self number, because there is not a number n which added to its sum of digits gives 42622128640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42622128643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96212259 + ... + 96212701.

It is an arithmetic number, because the mean of its divisors is an integer number (271845882).

Almost surely, 2^42622128640 is an apocalyptic number.

42622128640 is a gapful number since it is divisible by the number (40) 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 42622128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65243011680).

42622128640 is an abundant number, since it is smaller than the sum of its proper divisors (87863894720).

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

42622128640 is a wasteful number, since it uses less digits than its factorization.

42622128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 42622128640 in words is "forty-two billion, six hundred twenty-two million, one hundred twenty-eight thousand, six hundred forty".