42137285760 has 192 divisors, whose sum is σ = 146134455480. Its totient is φ = 11188027392.

The previous prime is 42137285759. The next prime is 42137285767. The reversal of 42137285760 is 6758273124.

42137285760 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 72 + 8 + 576 + 0 = 666.

42137285760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26267333184 + 15869952576 = 162072^2 + 125976^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42137285767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1326382 + ... + 1357778.

Almost surely, 2^42137285760 is an apocalyptic number.

42137285760 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 42137285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73067227740).

42137285760 is an abundant number, since it is smaller than the sum of its proper divisors (103997169720).

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

42137285760 is a wasteful number, since it uses less digits than its factorization.

42137285760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31655 (or 31640 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 42137285760 in words is "forty-two billion, one hundred thirty-seven million, two hundred eighty-five thousand, seven hundred sixty".