42523934240 has 96 divisors (see below), whose sum is σ = 106736298480. Its totient is φ = 15979106304.

The previous prime is 42523934239. The next prime is 42523934311. The reversal of 42523934240 is 4243932524.

It can be written as a sum of positive squares in 8 ways, for example, as 32271966736 + 10251967504 = 179644^2 + 101252^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42523934194 and 42523934203.

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, 47834 + ... + 295526.

Almost surely, 2^42523934240 is an apocalyptic number.

42523934240 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 42523934240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53368149240).

42523934240 is an abundant number, since it is smaller than the sum of its proper divisors (64212364240).

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

42523934240 is a wasteful number, since it uses less digits than its factorization.

42523934240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247774 (or 247766 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 42523934240 in words is "forty-two billion, five hundred twenty-three million, nine hundred thirty-four thousand, two hundred forty".