42239957760 has 2160 divisors, whose sum is σ = 209995883328. Its totient is φ = 7882997760.

The previous prime is 42239957687. The next prime is 42239957779. The reversal of 42239957760 is 6775993224.

42239957760 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 9 + 9 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42239957697 and 42239957706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1141620462 + ... + 1141620498.

Almost surely, 2^42239957760 is an apocalyptic number.

42239957760 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 42239957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104997941664).

42239957760 is an abundant number, since it is smaller than the sum of its proper divisors (167755925568).

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

42239957760 is a wasteful number, since it uses less digits than its factorization.

42239957760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

It can be divided in two parts, 42239 and 957760, that added together give a palindrome (999999).

The spelling of 42239957760 in words is "forty-two billion, two hundred thirty-nine million, nine hundred fifty-seven thousand, seven hundred sixty".