42040635520 has 128 divisors (see below), whose sum is σ = 114601541040. Its totient is φ = 14609547264.

The previous prime is 42040635509. The next prime is 42040635547. The reversal of 42040635520 is 2553604024.

It can be written as a sum of positive squares in 8 ways, for example, as 3225331264 + 38815304256 = 56792^2 + 197016^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7177 + ... + 290056.

Almost surely, 2^42040635520 is an apocalyptic number.

42040635520 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 42040635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57300770520).

42040635520 is an abundant number, since it is smaller than the sum of its proper divisors (72560905520).

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

42040635520 is a wasteful number, since it uses less digits than its factorization.

42040635520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297282 (or 297270 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The spelling of 42040635520 in words is "forty-two billion, forty million, six hundred thirty-five thousand, five hundred twenty".