42292612608 has 320 divisors, whose sum is σ = 121809346560. Its totient is φ = 13011812352.

The previous prime is 42292612553. The next prime is 42292612667. The reversal of 42292612608 is 80621629224.

It is a self number, because there is not a number n which added to its sum of digits gives 42292612608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110424385 + ... + 110424767.

It is an arithmetic number, because the mean of its divisors is an integer number (380654208).

Almost surely, 2^42292612608 is an apocalyptic number.

42292612608 is a gapful number since it is divisible by the number (48) 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 42292612608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60904673280).

42292612608 is an abundant number, since it is smaller than the sum of its proper divisors (79516733952).

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

42292612608 is a wasteful number, since it uses less digits than its factorization.

42292612608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

It can be divided in two parts, 422926 and 12608, that added together give a palindrome (435534).

The spelling of 42292612608 in words is "forty-two billion, two hundred ninety-two million, six hundred twelve thousand, six hundred eight".