42362126560 has 96 divisors (see below), whose sum is σ = 107905234752. Its totient is φ = 15623086080.

The previous prime is 42362126537. The next prime is 42362126591. The reversal of 42362126560 is 6562126324.

42362126560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1833480 + ... + 1856440.

It is an arithmetic number, because the mean of its divisors is an integer number (1124012862).

Almost surely, 2^42362126560 is an apocalyptic number.

42362126560 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 42362126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53952617376).

42362126560 is an abundant number, since it is smaller than the sum of its proper divisors (65543108192).

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

42362126560 is a wasteful number, since it uses less digits than its factorization.

42362126560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23876 (or 23868 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 42362126560 in words is "forty-two billion, three hundred sixty-two million, one hundred twenty-six thousand, five hundred sixty".