42243701760 has 528 divisors, whose sum is σ = 159476955456. Its totient is φ = 10277093376.

The previous prime is 42243701743. The next prime is 42243701777. The reversal of 42243701760 is 6710734224.

42243701760 is a `hidden beast` number, since 4 + 224 + 370 + 1 + 7 + 60 = 666.

42243701760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42243701743) and next prime (42243701777).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 58106517 + ... + 58107243.

Almost surely, 2^42243701760 is an apocalyptic number.

42243701760 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 42243701760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79738477728).

42243701760 is an abundant number, since it is smaller than the sum of its proper divisors (117233253696).

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

42243701760 is a wasteful number, since it uses less digits than its factorization.

42243701760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 42243701760 in words is "forty-two billion, two hundred forty-three million, seven hundred one thousand, seven hundred sixty".