42407596240 has 40 divisors (see below), whose sum is σ = 98606320488. Its totient is φ = 16961548800.

The previous prime is 42407596151. The next prime is 42407596247. The reversal of 42407596240 is 4269570424.

It can be written as a sum of positive squares in 4 ways, for example, as 626601024 + 41780995216 = 25032^2 + 204404^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42407596247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1574890 + ... + 1601590.

Almost surely, 2^42407596240 is an apocalyptic number.

42407596240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42407596240 is an abundant number, since it is smaller than the sum of its proper divisors (56198724248).

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

42407596240 is a wasteful number, since it uses less digits than its factorization.

42407596240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46567 (or 46561 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 42407596240 in words is "forty-two billion, four hundred seven million, five hundred ninety-six thousand, two hundred forty".